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Explain the additional measure of central tendency would be appropriate to report with these data based on their findings.

a. The range of WR scores that would contain about 95% of the scores in the drug dealer sample.
Given info:
The data have mount-shaped, symmetric distribution.
${\displaystyle n=100,\bar{x}=39,s=6}$.
b. The proportion of scores that lies above 51.
c. The range of WR scores that contain nearly all samples of drug dealer sample.

Your son has just gotten his driver's license and your bank account is about to get a little (a lot?) lighter. To help mitigate the impact on your finances, you have opted for a high deductible auto insurance policy. The deductible on your policy is $4000, which means that you will pay the first $4000 of any damages and then the insurance will cover the rest. Because of this, if there is an accident for which the damages are less than $4000, you aren't even going to file a claim with the insurance company. The less they know, the better? You will just pay it out of pocket. You believe that any accident will result in a damage amount which is normally distributed with a mean of $4500 and a standard deviation of $1500. The value of your son's car is only $7500, so that is the upper bound on the damage amount because in that case, you can junk the car and buy a different one for $7500. The lower bound on damages is obviously $0. The probability of an automobile accident this year is 7.5%.
Build a Monte Carlo simulation model to show your out of pocket expenses in this situation. If there is no accident, then there is no out of pocket expense.
Analyze the results of the 1000 iterations to find the following as a percentage of the 1000 interactions:
1. How often a claim was filed (damage met deductible).
2. How often you ended up buying a different car.
Also, calculate your expected out of pocket expense.
For these three questions, put a cell reference in Cells B4:B6 to wherever you have calculated those values in your spreadsheet so that I don't have to hunt for them.

X denotes a binomial random variable with parameters n and p. For each exercise, indicate which area under the appropriate normal curve would be determined to approximate the specified binomial probability.
${\displaystyle P(X\le 4)}$

for its Music 360 survey, Nielsen Co. asked teenagers and adults how each group has listened to music in the past 12 months. Nearly two-thirds of U.S. teenagers under the age of 18 say they use google Inc.’s video-sharing site to listen to music and 35% of the teenagers said they use Pandora Media Inc.’s custom online radio service (the wall street Journal, August 14, 2012).
Suppose 10 teenagers are selected randomly to be interviewed about how they listen to music.
a. Is randomly selecting 10 teenagers and asking whether or not they use Pandora Media Inc.’s online service a binomial experiment?

The probability of rain on any given day in a region is found to be 0.1 based on the Binomial probability distribution.
a) What is the probability of 4 days with rain in one week?
b) What is the probability that it will rain in the next 4 days?
c) What is the probability that it will rain 4 consecutive days after 3 days with no rain in one week?

a) Compute the probability of ${\displaystyle x=2}$ using the binomial formula.
b) Compute the probability of ${\displaystyle x=3}$ using the binomial formula.

a) Determine the probability that exactly 4 out of 10 randomly selected Americans own a dog.
b) Determine the probability that 4, or fewer, out of 10 randomly selected Americans own a dog.

Classify the following variables as continuous or discrete:
a.) A binomial distribution of the number of green pea plants in a batch of six ?
b.) The test scores of this final examination ?
c.) A binomial probability distribution of coin flips landing heads ?

To determine and explain: Which data entries are unusual and very unusual.
Given info:
The mean speed and standard deviation for a sample of vehicles along a stretch of highway are 67 miles per hour and 4 miles per hour, respectively. Also, the speeds for eight vehicles are as follows:
70,78,62,71,65,76,82,64

An agent sells life insurance policies to five equally aged, healthy people.
According to recent date, the probability that a person lives in these conditions for 30 years or more is ${\displaystyle \frac{3}{5}}$. Then the probability that after 30 years exactly two people are still living is:

a) State the formula for calculating the mean of a binomial probability distribution.
b) State the formula for calculating the variance of binomial probability distribution.
c) State the formula for calculating the standard deviation of a binomial probability distribution.

Determine whether you can use the normal distribution to approximate the binomial distribution. If you​ can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you​ cannot, explain why and use the binomial distribution to find the indicated probabilities.
A survey of adults in a region found that 33​% name professional football as their favorite sport. You randomly select 11 adults in the region and ask them to name their favorite sport. Complete parts​ (a) through​ (d) below
​(a) Find the probability that the number who name professional football as their favorite sport is exactly 8.

Give the numerical value of the parameter p in the following binomial distribution scenario.
The probability of winning an arcade game is 0.632 and the probability of losing is 0.368. If you play the arcade game 10 times, we want to know the probability of winning no more than 8 times.
Consider winning as a success in the binomial distribution. Do not include ${\displaystyle p=}$ in your answer.

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
${\displaystyle n=5,p=0.85,x=3}$
${\displaystyle P\left(3\right)=}$

Based on a poll, 40% of adults believe in reincarnation. Assume that 8 adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
What is the probability that exactly 7 of the selected adults believe in reincarnation?
The probability that exactly 7 of the 8 adults believe in reincarnation is ?.

Which of the following is not a requirement of the binomial probability distribution?
A, Each trials must have all outcomes classified into two categories.
B. The trials must be dependent.
C. The probability of a success remains the same in all trials.
D. The procedure has a fixed number of trials.

To write: The binomial probability ${\displaystyle P(x\le 36)}$ in words.
To convert: The binomial probability to a normal distribution probability by using continuity correction.

X denotes a binomial random variable with parameters n and p. For each exercise, indicate which area under the appropriate normal curve would be determined to approximate the specified binomial probability.
${\displaystyle P(7<X\le 10)}$