Lets believe that 40% of likely voting people want to vote for certain candidate. Let X be the number of people out of 20 randomlu selected individuals who want to vote. What is the expected value and standard deviation of X? a. Value=12 stdev. 0.48 b. Value= 8 stdev. 4.8 c. Value= 8 stdev. 2.19 d. Value = 8 stdev. 3.2

a soft drink as an average of 12.25 oz suppose x is normally distrubuted with a standard deviation of 0.16 oz if 16 cans are randomly selected and the volume is checked whats the probability that the average of the sample is more than 12.5 oz

bout 4% of the population has a particular genetic mutation. 300 people are randomly selected.Find the standard deviation for the number of people with the genetic mutation in such groups of 300. (Remember that standard deviation should be rounded to one more decimal place than the raw data, in this case 1 decimal place is necessary.)

Assume that the heights of men are normally distributed with a mean of 68.1inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find theprobability that they have a mean height greater than 69.1 inches.

Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of eleven months with a sample standard deviation of two months. Assume that the underlying population distribution is normal. Part (a) (i) Enter an exact number as an integer, fraction, or decimal. x =  (ii) Enter an exact number as an integer, fraction, or decimal. sx =  (iii) Enter an exact number as an integer, fraction, or decimal. n =  (iv) Enter an exact number as an integer, fraction, or decimal. n − 1 =  Part (b)   Part (c)     Part (d) Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)       Explain your choice. Construct a 99% confidence interval for the population mean length of time using training wheels. (i) State the confidence interval. (Round your answers to two decimal…

Last​ year, a person wrote 118 checks. Let the random variable x represent the number of checks he wrote in one​ day, and assume that it has a Poisson distribution. What is the mean number of checks written per​ day? What is the standard​ deviation? What is the​ variance?

A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.

Assume that adults have IQ scores that are normally distributed with a mean of95.4 and a standard deviation of 16.6. Find the probability that a randomly selected adult has an IQ greater than 118.1 The probability that a randomly selected adult from this group has an IQ greater than 118.1 is what?

The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 67 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.b. Find the probability that a randomly selected person at the hot springs stays longer then 77 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount?  minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: (.        ) minutesQ3: (         )minutesIQR:(         )minutes PLEASE ANSWER ALL 3 SUBS B, C, AND D

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 55 miles and a standard deviation of 8 miles. Find the probability of the following events: The car travels between 49 and 63 miles per gallon. Probability =