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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the nor
Posted: Sun Jul 10, 2022 10:42 am
by answerhappygod
- In The Following Problem Check That It Is Appropriate To Use The Normal Approximation To The Binomial Then Use The Nor 1 (41.76 KiB) Viewed 88 times
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is still vanilla. About 30% of ice cream sales are vanilla. Chocolate accounts for only 9% of ice cream sales. Suppose that 184 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places) LAUSE SALT (a) What is the probability that 50 or more will buy vanilla? (b) What is the probability that 12 or more will buy chocolate? (c) A customer who buys ice cream is not limited to one container or one flavor. What is the probability that someone who is buying ice cream will buy chocolate or vanilla? Hint: Chocolate flavor and vanilla flavor are not mutually exclusive events. Assume that the choice to buy one flavor is independent of the choice to buy another flavor. Then use the multiplication rule for independent events, together with the addition rule for events that are not mutually exclusive, to compute the requested probability. (d) What is the probability that between 50 and 60 customers will buy chocolate or vanilla ice cream? Hint: Use the probability of success computed in part (c). Need Help? 11. [3.22/4.6 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us (a) Suppose n = 30 and p = 0.25. Can we approximate p by a normal distribution? Why? (Use 2 decimal places) no= ng - Yes both np and ng exceed PREVIOUS ANSWERS What are the values of , and e? (Use 3 decimal places. " be approximated by a normal random variable because Yes both np and no exceed BBUNDERSTAT126.6.020. (b) Supposen - 25 and p = 0.15. Can we safely approximate p by a normal distribution? Why or why not? No be approximated by a normal random variable because ✓cannot np does not exceed (c) Supposen-50 and p=0.11. Can we approximate p by a normal distribution? Why? (Use 2 decimal places) no -55 ng 44.5 be approximated by a normal random variable because What are the values of , and ? (Use 3 decimal places) 5.5 x 2.2125