MATLAB: An Introduction with Applications
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Author: Amos Gilat
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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the
It is estimated that 3.7% of the general population will live past their 90th birthday. In a graduating class of 731 high school seniors, find the following probabilities. (Round your answers to four decimal places.)
(d) more than 40 will live beyond their 90th birthday
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- 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 26% of ice cream sales are vanilla. Chocolate accounts for only 10% of ice cream sales. Suppose that 168 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places.) (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…arrow_forwardIn 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 25% of ice cream sales are vanilla. Chocolate accounts for only 7% of ice cream sales. Suppose that 168 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places.)(a) What is the probability that 50 or more will buy vanilla?(b) What is the probability that 12 or more will buy chocolate?arrow_forwardIn 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.It is estimated that 3.5% of the general population will live past their 90th birthday. In a graduating class of 763 high school seniors, find the following probabilities. (Round your answers to four decimal places.) (a) 15 or more will live beyond their 90th birthday(b) 30 or more will live beyond their 90th birthday(c) between 25 and 35 will live beyond their 90th birthday(d) more than 40 will live beyond their 90th birthdayarrow_forward
- 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. It is known that 75% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 63 new products, find the following probabilities. (Round your answers to four decimal places.) LAUSE SALT (a) within 2 years 47 or more fail 06141 X (b) within 2 years 58 or fewer fail (c) within 2 years 15 or more succeed 04129 x (d) within 2 years fewer than 10 succeedarrow_forwardIn 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.It is estimated that 3.6% of the general population will live past their 90th birthday. In a graduating class of 732 high school seniors, find the following probabilities. (Round your answers to four decimal places.) (a) 15 or more will live beyond their 90th birthday(b) 30 or more will live beyond their 90th birthday(c) between 25 and 35 will live beyond their 90th birthday(d) more than 40 will live beyond their 90th birthdayarrow_forwardIn 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. It is known that 77% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 64 new products, find the following probabilities. (Round your answers to four decimal places.) n USE SALT (a) within 2 years 47 or more fail 0.8968 (b) within 2 years 58 or fewer fail 0.9877 (c) within 2 years 15 or more succeed 0.5788 (d) within 2 years fewer than 10 succeed 0.0483 Need Help? Read Itarrow_forward
- 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.It is known that 78% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 60 new products, find the following probabilities. (Round your answers to four decimal places.) (a) within 2 years 47 or more fail(b) within 2 years 58 or fewer fail(c) within 2 years 15 or more succeed(d) within 2 years fewer than 10 succeedarrow_forwardIn 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.It is estimated that 3.5% of the general population will live past their 90th birthday. In a graduating class of 764 high school seniors, find the following probabilities. (Round your answers to four decimal places.) (a) 15 or more will live beyond their 90th birthday (b) 30 or more will live beyond their 90th birthday (c) between 25 and 35 will live beyond their 90th birthday (d) more than 40 will live beyond their 90th birthdayarrow_forward
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