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- Which of the pairs of events below is dependent?
Select the correct answer below: drawing a 7 and then drawing another 7 with replacement from a standard deck of cards rolling a 1 and then rolling a 6 with a standard die rolling a 3 and then rolling a 4 with a standard die drawing a heart and then drawing a spade without replacement from a standard deck of cards
- Identify the option below that represents dependent events.
Select the correct answer below: drawing a face card and then drawing a 3 without replacement from a standard deck of cards rolling a sum of 6 from the first two rolls of a standard die and a sum of 4 from the second two rolls drawing a 2 and drawing a 4 with replacement from a standard deck of cards drawing a heart and drawing another heart with replacement from a standard deck of cards
MATH 225N MATH Week 4 Probability Questions and
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- Which of the following shows mutually exclusive events?
Select the correct answer below: rolling a sum of 9 from two rolls of a standard die and rolling 2 for the first roll drawing a red card and then drawing a black card with replacement from a standard deck of cards drawing a jack and then drawing a 7 without replacement from a standard deck of cards drawing a 7 and then drawing another 7 with replacement from a standard deck of cards
- Which of the pairs of events below is mutually exclusive?
Select the correct answer below: drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards drawing a 2 and drawing a 4 with replacement from a standard deck of cards drawing a heart and then drawing a spade without replacement from a standard deck of cards drawing a jack and then drawing a 7 without replacement from a standard deck of cards
MATH 225N MATH Week 4 Probability Questions and
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game?
- Give your answer as a fraction.
Provide your answer below: 5/
- There are 26 cards in a hat, each of them containing a different letter of the
alphabet. If one card is chosen at random, what is the probability that it is not between the letters L and P, inclusive? Provide your answer below: 21/
- A spinner contains the numbers 1 through 80. What is the probability that
the spinner will land on a number that is not a multiple of 12?
- Give your answer in fraction form.
Provide your answer below: 74/
MATH 225N MATH Week 4 Probability Questions and
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- An art collector wants to purchase a new piece of art. She is interested in 5
paintings, 6 vases, and 2 statues. If she chooses the piece at random, what is the probability that she selects a painting?
- Give your answer as a fraction.
Provide your answer below: 5/
- Boris is taking a quiz for an online class. For the quiz, the system randomly
assigns 2 high- difficulty questions, 7 moderate-difficulty questions, and 6 low-difficulty questions. What is the probability that Boris is assigned a moderate-difficulty question first?
- Give your answer as a fraction.
Provide your answer below: 7/
- A spinner contains the numbers 1 through 40. What is the probability that
the spinner will land on a number that is not a multiple of 6? Give your
MATH 225N MATH Week 4 Probability Questions and
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n= (The parameters p and n represent the probability of success on any given trial and the total number of trials, respectively. In this case, success is winning a game, so p=0.718. The total number of trials, or games, is n=20)
- A weighted coin has a 0.55 probability of landing on heads. If you toss
the coin 14 times, what is the probability of getting heads exactly 9 times? (Round your answer to 3 decimal places if necessary.)
MATH 225N MATH Week 4 Probability Questions and
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Provide your answer below: 0. (This probability can be found using the binomial distribution with success probability p=0.55 and 14 trials. To find the probability that exactly 9 of the tosses are heads, use a calculator or computer: P(X=9)=binompdf(14,0.55,9)≈0.170. 15.Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.546 and without a popcorn coupon is 0.454. If you buy 27 movie tickets, we want to know the probability that exactly 15 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.) Select the correct answer below:
MATH 225N MATH Week 4 Probability Questions and
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MATH 225N MATH Week 4 Probability Questions and
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- Give the numerical value of the parameter p in the following binomial
distribution scenario. A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If the softball pitcher throws 29 pitches, we want to know the probability that exactly 19 of them are strikes. Consider strikes as successes in the binomial distribution. Do not include p= in your answer. Provide your answer below: 0. (The parameters p and n represent the probability of success on any given trial and the total number of trials, respectively. In this case, success is a strike, so p=0.675)
- Identify the parameters p and n in the following binomial distribution
scenario. Jack, a bowler, has a 0.38 probability of throwing a strike and a 0.62 probability of not throwing a strike. Jack bowls 20 times (Consider that throwing a strike is a
MATH 225N MATH Week 4 Probability Questions and
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long tournament. On average, they win 4 out of every 6 matches. What is the mean for the number of matches that they win in the tournament? Select the correct answer below: 46
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In this scenario, the number of trials is 30 (the total number of matches played), which is n. The probability of a success (winning a match) is 46. So, the mean of the binomial distribution B(30,46) is: μ=(30)(46)=
- Using the same scenario, what is the standard deviation for the number
of matches that they win in the tournament? The Stomping Elephants volleyball team plays 30 matches in a week-long tournament. On average, they win 4 out of every 6 matches. Select the correct answer below: 26 6.67−−−−√
20−−√ 20 40
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22.Identify the parameter n in the following binomial distribution scenario. A weighted coin has a 0.441 probability of landing on heads and a 0.559 probability of landing on tails. If you toss the coin 19 times, we want to know the probability of getting heads more than 5 times. (Consider a toss of heads as success in the binomial distribution.) Select the correct answer below: 5
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23. Give the numerical value of the parameter n , the number of trials, in the
following binomial distribution scenario. A weighted coin has a 0.486 probability of landing on heads and a 0. probability of landing on tails. If you toss the coin 27 times, we want to know the probability of getting heads exactly 11 times. Consider a toss of heads as success in the binomial distribution. Provide your answer below: 27
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- The probability of buying a movie ticket with a popcorn coupon is
0.608. If you buy 10 movie tickets, what is the probability that more than 3 of the tickets have popcorn coupons? (Round your answer to 3 decimal places if necessary.)
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Provide your answer below:.
- A softball pitcher has a 0.507 probability of throwing a strike for each
pitch. If the softball pitcher throws 15 pitches, what is the probability that more than 8 of them are strikes? (Round your answer to 3 decimal places if necessary.) Provide your answer below:.
- A 2014 study by researchers at the University College Antwerp and the
University of Leuven showed that e-cigarettes are effective at reducing cigarette craving. Participants were separated into two groups. One group was given e-cigarettes and the other was told to not smoke e-cigarettes. Two months later, researchers observed how many participants had stopped smoking cigarettes. The following table shows approximate numbers. According to the table, what is the probability that a randomly chosen participant did not stop smoking, given that the participant received an e-cigarette?
MATH 225N MATH Week 4 Probability Questions and
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