1. One out of four Americans over age 55 has eaten pizza for breakfast. P(Eaten Pizza)...

1. One out of four Americans over age 55 has eaten pizza for breakfast. P(Eaten Pizza) = 0.25. If a sample of 10 Americans over the age of 55 is selected at random, find the probability that at most 3 have eaten pizza for breakfast. Use the binomial formula.

Solutions

Expert Solution

One out of four Americans over age 55 have eaten pizza for breakfast i.e. P(Eaten Pizza)=0.25=p. Therefore, q=1-p=0.75

Sample of 10 Americans over age 55 is selected at random, n=10.

Let X be the random variable that Americans over age 55 have eaten pizza for breakfast. Therefore, X follows Binomial distribution with parameters n=10 and p=0.25 i.e.

To find: P(at most 3 have eaten pizza for breakfast) i.e .

The probability mass function is given by

Required probability is given as:

The probability that at most 3 have eaten pizza for breakfast is 0.7758751.

orchestra answered 9 months ago

Next > < Previous

Related Solutions

One out of four American adults has eaten Pizza for breakfast. If a sample of 20...

One out of four American adults has eaten Pizza for breakfast. If a sample of 20 adults is selected. What type of probability distribution is this situation? ______________ None of them has eaten pizza for breakfast. ______________ What is the probability of less than 5 have eaten Pizza for breakfast? ___________ What is the probability have eaten between 5-10 Pizza for breakfast? ____________ What is the probability that more than 9 have eaten Pizza for breakfast? __________ Determine the mean...

The population of Americans age 55 and older as a percentage of the total population is...

The population of Americans age 55 and older as a percentage of the total population is approximated by the function f(t) = 10.72(0.9t + 10)0.3 (0 ≤ t ≤ 20) where t is measured in years, with t = 0 corresponding to the year 2000.† (Round your answers to one decimal place.) At what rate was the percentage of Americans age 55 and older changing at the beginning of 2003? % per year At what rate will the percentage of...

QUESTION 11 In any given year, one in three Americans over the age of 65 will...

QUESTION 11 In any given year, one in three Americans over the age of 65 will experience a fall. If you have three living grandparents over the age of 65, and assuming that the probability of a fall for each grandparent is independent: What is the probability that none of the three grandparents will experience a fall? Provide your answer as a decimal between 0 and 1. 4 points QUESTION 12 What is the probability that one or more grandparents will...

A recent study indicated that 22% of the 161 women over age 55 in the study...

A recent study indicated that 22% of the 161 women over age 55 in the study were widows. Round up your answers to the next whole number for the following questions. How large a sample must you take to be 95% confident that the estimate is within 0.04 of the true proportion of women over age 55 who are widows?

2. Americans over the age of 65 are covered by Medicare. For them, the medical market...

2. Americans over the age of 65 are covered by Medicare. For them, the medical market is a third-payer market. What is a third-party payer market? How does total quantity of medical services provided in a third-payer market, such as Medicare, compare to a market in which the purchaser of medical services pays the full cost? How does price of medical services provided in a third-part payer market, such as Medicare, compare to the price in a market in which...

Chapter P, Section 1, Exercise 042 Pancakes A friend makes three pancakes for breakfast. One of...

Chapter P, Section 1, Exercise 042 Pancakes A friend makes three pancakes for breakfast. One of the pancakes is burned on both sides, one is burned on only one side, and the other is not burned on either side. You are served one of the pancakes at random, and the side facing you is burned. What is the probability that the other side is burned? (Hint: Use conditional probability.) Enter the exact answer. P(other side is burned): _____________________ 0.5 and...

In a sample of 400 Americans over age 21, 75% said that they drank alcoholic beverages....

In a sample of 400 Americans over age 21, 75% said that they drank alcoholic beverages. What is 98% confidence interval of the true proportion of all Americans who drink alcoholic beverages?

（1） A study reported that 55% of Americans say parents are doing too much for their...

（1） A study reported that 55% of Americans say parents are doing too much for their young adult children these days. The smallest sample size for which the sampling distribution of sample proportion is approximately normal is （） . (Your answer must be an integer.) （2）To estimate the average income among all U.S. workers, we obtain a simple random sample of 1000 U.S. workers and calculate their average income. Then, we should (I) conclude that the average income among...

Language Survey About 42.3% of Californians and 19.6% of all Americans over age five speak a...

Language Survey About 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. Using your class as the sample, conduct a hypothesis test to determine if the percent of the students at your school who speak a language other than English at home is different from 42.3%. sample means 38 22/38 speak another language H0: ___________ Ha: ___________ In words, define the random variable. __________ = _______________ The distribution to use...

RISK MANAGEMENT Background Paul , age 55, immigrated to Canada from Scotland in his 20s. Over...

RISK MANAGEMENT Background Paul , age 55, immigrated to Canada from Scotland in his 20s. Over the years, he built a small chain of budget-rate hotels in the GTA and has become wealthy beyond his dreams. His private corporation, Nessie Inc., owns the hotels and, in some cases, the land on which the hotels are built. Paul and his first wife divorced years ago and she returned to Scotland. He has no ongoing obligations toward his first wife and is...

Subjects