5. Reach Distance. The overhead reach distances of adult women are normally distributed with a mean of 200 cm. and a standard deviation of 12.5 cm. (Illustrate each with a graph!) a. Find the probability that an individual distance is greater than 205 cm. Describe the random variable: Describe distribution: b. Find the probability that the mean reach distance for 25 randomly selected adult women is greater than 205 cm. Describe the random variable: Is it appropriate for us to use The Central Limit Theorem? Describe the distribution:

In the 1992 presidential election, Alaska's 40 election districts averaged 2008 votes per district for President Clinton. The standard deviation was 573. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places.a. Find the probability that a randomly selected district had fewer than 2096 votes for President Clinton. b. Find the probability that a randomly selected district had between 2047 and 2177 votes for President Clinton.c. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.

According to Reader's Digest, 38% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 310 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p bar)=(to  2decimals) Sigma subscript p bar= (to  decimals) b. What is the probability that the sample proportion will be within +-0.03  of the population proportion? Round your answer to four decimals.   c. What is the probability that the sample proportion will be within +-0.05  of the population proportion? Round your answer to four decimals.   d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -(increase/decrease) . This is because the increase in the sample size makes the standard error, , - Select your answer -(larger/smaller) .

. IQ scores are normally distributed with a mean of 100 points, and a standard deviation of 15points.a. In words define the random variable. X=_________ b. Find the probability that a person has an IQ sore greater than 125. Include a complete shaded graph, and write the probability statement. c. MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ required to qualify for the MENSA organization. Include a complete shaded graph, and writethe probability statement.

Subpart A,B,C

We learned that there are 4 items by which we characterize a distribution in statistics. Which of the followings is NOT one of them? O a. Central tendency Ob. Homogeneity O c. Skewness Od. Kurtosis

Q6. Select the best response. The sampling distribution of the mean will be approximately Normaleven when the population is not exactly Normal as long as the sample is: A. medium B. large C. small

A population has a normal distribution. A sample size of n is selected from this popuiation. Descriee theshape of the sampling distribution Of the sampre mean for eaen of the foliaung cars. a.73D23 b.n=450

Part C only please. Thank you!

In a given company, employee should sign in using the biometric time clock. There are 3 devices in thecompany and the probability that it works is 95%.Let x be the random variable of the number of devices working at a given day.1. Construct the probability distribution of x.2. Find the mean value and interpret it.3. Find the standard deviation and interpret it.