viation is 295 dollars, and the cost is normally distributed. You take a simple random sample of 9 auto urance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? ~ N( c. What is the probability that one randomly selected auto insurance is less than $1079? d. a simple random sample of 9 auto insurance policies, find the probability that the average cost is less than $1079. e. For part d), is the assumption of normal necessary? O No Yes > Next Question

Q: please solve the following question   In the spring, a biologist and her team placed radio collars…

A: Discrete Probability distribution :  A discreet random variable X is said to be discrete probability…

Q: 55% of college graduates know the name of the Secretary of State for the U.S. You randomly select 5…

A: (a) Obtain the mean of the binomial distribution. The value of the mean is obtained below: Let X…

Q: It is found that the probability that a person has brown eyes is 61.66%. Considering a group of 412,…

A:

Q: A doctor is interested in the proportion of patients which live at least 5 years after being…

A: sample size n=196proportion mean =proportion the standard deviation is ==0.028561) it follows normal…

Q: A survey found that women's heights are normally distributed with mean 63.7 in and standard…

A: In a survey, Height of women follows the normal distribution with mean 63.9 in and standard…

Q: 3. A surgical technique is performed on ten patients. You are told there is an 83% chance of…

A: Givenn=10p=0.83

Q: 3. Find the probability of selecting either a non-smoker or a woman when you select a person at…

A:

Q: Objective: Probability involving percentages Business Weekly conducted a survey of recent graduates…

A: (1) Obtain the probability that less than 90% of the 77 recent graduates have an annual salary…

Q: In the accompanying table, the random variable x represents the number of televisions in a household…

A: A distribution is said to be valid probability distribution, if the sum of all probabilities is…

Q: The average wait time to get seated at a popular restaurant in the city on a Friday night is 14…

A: b. Claim: The mean wait time greater than for men who wear a tie. Null Hypothesis: H0: μ=14…

Q: 4 While gathering eggs one day, Lisa has 15 eggs when Liana has 20 eggs at the moment when they…

A: Given that Lisa has 15 eggs Liana has 20 eggs 10% are rotten eggs i.e., p = probability of rotten…

Q: Q3. In a binomial distribution of k Successes from n trials: Thenumber of different sequences is…

A: (I). In binomial distribution, if there are n number of trials and k number of successes then the…

Q: The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and…

A: Determine the distribution of the random variable X follows.   The distribution of the random…

Q: The diameters of ball bearings are Casteel Clistributed normally The mean diameter Ps 89 millimeters…

A: Pobability calculated uisng R command

Q: Fifteen percent of U.S. employees who are late for work blame oversleeping. You randomly select four…

A: Suppose a random variable X, defines that the number of U.S. employees who are late for work and…

Q: a teacher looks at a random sample of 42 final exam completion times and finds a mean time of 111…

A: As the population standard deviation is not known, we will use t distribution. The number of degrees…

Q: 6. The probability that a chocolate biscuit is double wrapped is 0.01, and a box contains 150…

A: Discrete Random Variable: A discreate random variable is a variable whose values can be obtained by…

Q: The average price of a college math textbook is $171 and the standard deviation is $28. Suppose that…

A:

Q: oblem Solving: Sow your complete sOl 1. The systolic blood pressure for a distribution with u = 120…

A: The systolic Blood pressure for a certain group of people with mean 120 and standard deviation 5…

Q: The lengths of adult males' hands are normally distributed with mean 185 mm and standard deviation…

A: Given Information: The lengths of adult males' hands are normally distributed Mean μ=185 mm and…

Q: Based on historical data, your manager believes that 28% of the company's orders come trom first-…

A:

Q: The average THC content of marijuana sold on the street is 10.8%. Suppose the THC content is…

A: Given, mean= 10.8  Standard deviation= 1 So, variance= 12=1 So, X~N(mean,variance)= N(10.8,1)…

Q: Please show all diagrams and work. Circle your answers. 1. The average weight of an NFL player is…

A:

Q: The average final exam score for the statistics course is 78%. A professor wants to see if the…

A: Sample size, The data is as follows: 87, 61, 89, 54, 69, 60, 54, 70, 68, 54, 84, 81

Q: The amount of syrup that people put on their pancakes is normally distributed with mean 62 mL and…

A: Given, μ = 62σ = 12n = 50 X ~ N (62, 12)     To find, b) what is the distribution for x ? c) P (61.9…

Q: d. a simple random sample of 10 auto insurance policies, find the probability that the average cost…

A: Given that.   X~N( μ , ?)   μ=1008    , ?=242   Z-score =( x - μ )/?

Q: C. The test statistic |(please show your answer to 3 decimal places.) d. The p-value = (Please show…

A: Given n=12 Let X : Waiting time for men who wear a tie x 14 16 14 17 15 15 13 13…

Q: Consider the probability that no less than 94 out of 149 people have not been in a car accident.…

A: Given information: The population proportion is 61% i.e. p=0.61. The sample size is n=149. The…

Q: IV. The table below shows the number of students who visit the library per day. X 30 45 52 55 60 16.…

A:

Q: What number correctly completes the following probability distribution for the number of boys in a…

A: There are 3 children.

Q: 8. In California 29.5% of released prisoners return to prison within 3 years of their release.…

A: The binomial probability rule states that the probability of (x) success and (n-x) failures in (n)…

Q: Refer to the accompanying table, which describes results from groups of 8 births from 8 different…

A: Step 1: Given that, Random variable (x)= Number of girls among 8 children we have to find the mean…

Q: According to Reader's Digest, 50% of primary care doctors think their patients receive unnecessary…

A: Given: 50% of primary care doctors think their parents receive unnecessary medical care. That is,…

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: Suppose it is known that 37% of Camp Crystal Lake campers return the next summer. A random sample of…

A: Given: 37% of the campers return next summer. p=0.37 n=15

Q: Construct a probability distribution for the sum shown on the faces when two dice, each with 8…

A: From the provided information, Two dice with 8 faces are rolled. Total outcomes = 8 × 8 = 64

Q: od 9. Pearson's coefficient of'skewness for a distribution is 0:4 and its coefficient of variation…

A:

Q: I NEED HELP 1. Consider a distribution of 10 scores: 2, 5, 8, 1, 9, 3, 0, 3, 9, and a mystery score…

A:

Q: The class outing ticket includes a snack-pack with three items, a coold chocolate and then chips or…

A:

Q: Customers using a self-service soda dispenser take an average of 16 ounces of soda with an SD of 4…

A: Given Population mean μ=16, standard deviations σ=4, n=sample size=4

Q: A distribution has a mean of 30 and a standard deviation of 4. Approximately 68% of the distribution…

A: