4. A recent study shows that 3 out of 5 elementary school students spend more time playing video games than studying during school days. Suppose a random and independent sample of 15 students is taken from this group. (8%) a. Can we assume binomial distribution for the number of children who spend more time playing video games than studying? Explain the reason. b. What is the probability that exactly 8 of these children were the ones who spend more time playing video games than studying? (Use the binomial formula and show your work) c. What is P(6SX<11)? (Use the binomial table and show your work) d. Use normal distribution (approximation) to answer part c. Is your answer similar to part c? Show your work

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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4. A recent study shows that 3 out of 5 elementary school students spend more time playing video games than studying
during school days. Suppose a random and independent sample of 15 students is taken from this group. (8%)
a. Can we assume binomial distribution for the number of children who spend more time playing video games than
studying? Explain the reason.
b. What is the probability that exactly 8 of these children were the ones who spend more time playing video games than
studying? (Use the binomial formula and show your work)
c. What is P(6SX<11)? (Use the binomial table and show your work)
d. Use normal distribution (approximation) to answer part e. Is your answer similar to part c? Show your work
Transcribed Image Text:4. A recent study shows that 3 out of 5 elementary school students spend more time playing video games than studying during school days. Suppose a random and independent sample of 15 students is taken from this group. (8%) a. Can we assume binomial distribution for the number of children who spend more time playing video games than studying? Explain the reason. b. What is the probability that exactly 8 of these children were the ones who spend more time playing video games than studying? (Use the binomial formula and show your work) c. What is P(6SX<11)? (Use the binomial table and show your work) d. Use normal distribution (approximation) to answer part e. Is your answer similar to part c? Show your work
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