Eighty-five percent of adults want to live to age 100. You randomly select five adults and ask them whether they want to live to age 100. The random variable represents the number of adults who want to live to age 100. Complete parts (a) through (c) below. (a) Construct a binomial distribution. P(x) 0.00008 0.00215 0.02438 0.13818 0.39150 0.44371 (Round to five decimal places as needed.) Probability (b) Graph the binomial distribution using a histogram and describe its shape. Graph the binomial distribution. Choose the correct graph below. O A. O B. O C. X 0 1 2 3 4 Living to Age 100 0.5- 0- 0 1 2 3 4 5 Number of Adults Probability Living to Age 100 .... 0.5- 0 1 2 3 4 5 Number of Adults Probability Living to Age 100 0.5- I 0 1 2 3 4 5 Number of Adults O D. Probability Living to Age 100 0.5- 0 1 2 3 4 5 Number of Adults

Use the distribution to find the probability of getting less than 3 correct when making random guesses on a 4 question multiple choice exam. P(x) 0.198 1 0.395 0.296 3 0.099 4 0.012 0.593 0.889 None of these 0.111 0.296

Eighty-three percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the​ mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results   find the mean, variance, and standard deviation

The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. 1 2 3 4 P(x) 0.1666 0.3437 0.2774 0.1486 0.0384 0.0253

A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions.   (a) Write the formula for p(x), the probability distribution of x. (b) What are the mean ? and variance ?2 of this distribution? (Round your mean to one decimal place and your variance to two decimal places.)

K The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age 15-19 20-24 25-29 30-34 35-39 40-44 45-54 Number of Multiple Births (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)= (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39) = 90 510 1622 2838 1845 373 119

Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 8% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) through (d). .... . Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. A. No, because np < 5. B. No, because nq < 5. C. Yes, because both np 25 and nq 2 5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 39. (Round to four decimal places as needed.)

In a recent survey, approximately 90% of U.S. adults own a cell phone. Let's assume this can be modeled as a binomial distribution. In a group of 20 randomly selected adults, what is the standard deviation of the number of adults you would expect to own a cell phone? TTT Arial v T RBC 3 (12pt) Click Save and Submit to save and submit. Click Save All Answers to save all answers.

Solve for D

Eighty-four percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the​ mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results. Find the mean of the binomial distribution.   μ=_________ ​(Round to two decimal places as​ needed.)