Seventy-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. (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. OC. OD. Living to Age Living to Age Living to Age Living to Age 100 100 100 100 0.5- 0.5 Probability Probability Probability 012345 012345 012345 012345 Number of Adults Number of Adults Number of Adults Number of Adults What is the shape of the histogram? O Symmetric O Skewed right O Skewed left (c) What values of the random variable x would you consider unusual? The value(s) x= 0 and x = 1 would be unusual because the associated probability (probabilities) is(are) less than 0.05.For a random variable x, a new random variable y can be created by applying a linear transformation y = a + bx, where a and b are constants. If the random variable x has mean , and standard deviation ox, then the mean, variance and standard deviation of y are given by the following formulas. My = a + bux 0? =box By=1blox The mean annual salary for employees at a company is $36,000. At the end of the year, each employee receives a $5000 bonus and a 6% raise (based on salary). What is the new mean annual salary (including the bonus and raise) for the employees? The new mean annual salary is $According to a theoryI in genetics, iflall and colorful plants are crossed with short and coloness plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short. and coloriess' 5 :1 1 6 with corresponding probabilities of ' ' E' and E' In a multinomial experiment, if10 plants are selected, nd the probability that 3 will be tall and colorfuL 2 wlll be tall and colorless, 3 will be short and colorful, and 2 will be short and colorless, 0 Click the icon to View more intormation about a multinomial experiment. The probability is . (Round to three decimal places as needed.) Astate lottery randomly chooses 3 balls numbered from 1 through 39 without replacement You moose 3 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p' and q and list the possible values of the random variable x. Is the experiment binomial\"? C) A Yes, the probability of success is the same tor each trial. (Q B No, because the probability of success is different for each trial. 0 C No, there are more than two outcomes for each trial. 0 D Yes, there are a xed number of trials and the trials are independent of each other. Identify a success. Choose the correct answer below. 0 At Asuccess is matching one of the numbers in the lottery. Q) B Asuccess is the number of matches on your ticket to the numbers drawn in the lottery O C. Asuccess is matching ail of the numbers in the lottery. C) D The expeliment is not binomial. Specify the values n, p, and q. Select the conect choice below and, ifnecessary, ll in the answer box to complete your choice. o A .p= ,q= (Type integers or decimals ) (5) B The expedment is not binomial. List the possible values of the random variable x. Choose the correct answer below. (Q A The possible vaiues forxare 1, 2, 3, 4, 39. 0 B The possible vaiuesforxare1, 2, 8. O C The expeliment is not binomial
