You are to take a multiple-choice exam consisting of 64 questions with two possible responses to each question. Suppose that you have not studied and so must guess (select one of the two answers in a completely random fashion) on each question. Let x represent the number of correct responses on the test.(a) What kind of probability distribution does x haveb) Compare the variance and standard deviation of x.

x has a binomial distribution. The variance of x is 16 and the standard deviation is 4.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the person answer it correctly, or the person answers it wrong. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The variance of the binomial distribution is:

The standard deviation of the binomial distribution is:

a) What kind of probability distribution does x haveb) Compare the variance and standard deviation of x.

Binomial

64 questions, so

Each question is guessed, out of two possible answers. So

x has a binomial distribution. The variance of x is 16 and the standard deviation is 4.

answer: a.   one is a factor of every whole number since every number is divisible by itself.

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61