If we are given a Normal distribution with such at N(56, 11). Answer the following questions. a. What is the mean of the distribution? b. What is the standard deviation of the distribution?

Suppose x has a normal distribution with mean ? = 53 and standard deviation ? = 7.Describe the distribution of x values for sample size n = 4. (Round ?x to two decimal places.) ?x =  ?x =  Describe the distribution of x values for sample size n = 16. (Round ?x to two decimal places.) ?x =  ?x =  Describe the distribution of x values for sample size n = 100. (Round ?x to two decimal places.) ?x =  ?x =

The average amount of money that people spend at Don Mcalds fast food place is $7.0500 with a standard deviation of $1.7600. 14 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N b. What is the distribution of ? - N c. What is the distribution ofΣ? - N( I d. What is the probability that one randomly selected customer will spend more than $7.6744? e. For the 14 customers, find the probability that their average spent is more than $7.6744. f. Find the probability that the randomly selected 14 customers will spend less than $107.4416. g. For part e) and f), is the assumption of normal necessary? Yes No h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 14 people who spend the most money. At least how much must a group of 14 spend in total to get the free sundae? $

A vertical line is drawn through a normal distribution at z = 1.20. What proportion of the distribution is on the left-hand side of the line? Question 6 options: 0-8849 0-1151 0.3849 0.7698

"For a normal distribution with a mean of m5 85 and a standard deviation of s5 20, find the proportion of the population corresponding to each of the following.a.Scores greater than 89b.Scores less than 72c.Scores between 70 and 100"

solve the following