According to a recent survey, the salaries of assistant professors have a mean of $40,756 and a standard deviation of $7500. Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn at most $48,000. Round your answer to at least four decimal places. ?

Q: Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.

A: Given: X P(x) 0 0.175 1 0.357 2 0.318 3 0.118 4 0.028 5 0.004

Q: For 5 year old children, the mean weight is 51.01 pounds with a standard deviation of 3.98 pounds.…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)σ. Here, µ and σ are the mean…

Q: Given a uniform distribution with endpoints 4 and 22: What is the mean?        What is the…

A:

Q: In a Normal distribution 7% items are under 35 and 89% are under 63. Find its mean and standard…

A:

Q: deviation 3.2 inches, answer the following questions. (Hint: Use the figure below with mean ? and…

A: The normal distribution is a continuous distribution that has many real-life applications. A normal…

Q: In a distribution exactly normal, 7% of the items are under 35 and 89% are under 63. What are the…

A:

Q: Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida,…

A: Given information- We have given golfers score in two different years. Calculating mean and standard…

Q: Given the following frequency distribution, determine the standard deviation. Scores Frequency 51-60…

A:

Q: What is the standard deviation for the following sample of scores? Scores: 3,2,4,6,6,3

A: The standard deviation is a measure of dispersion. It tells how much data are deviates from their…

Q: The systolic blood pressure of 18-year-old women is a roughly bell-shaped distribution with a mean…

A: We have given that.   X~N( μ , ?^2 )   μ =120 , ? =12   Z-score =( x - μ )/?

Q: Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the values…

A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…

Q: A sample of college students was asked how much they spent monthly on coffee. Approximate the…

A:

Q: A new extended-life light bulb has an average life of 750 hours, with a standard deviation of 50…

A: As per empirical rule approximately 68-95-99.74% data fall within 1-2and3sd of mean.

Q: The annual commissilons per salesperson employed by a retailer of mobile communication devices…

A: Let X be the random variable from normal distribution with mean (μ) = $ 41200 ans standard deviation…

Q: What percentage of women are taller than 60 inches?  % (b) What percentage of women are shorter…

A: Let X denotes the heights of college women. Given that X follows N(mean = 60, SD = 3.2), then Z = (X…

Q: A normal distribution has a mean of 100 and a standard deviation of 10. What percent of data values…

A: The formula for z score is,  The probabilities is computed by using the standard normal table.

Q: (When your trying to study) Wait times at a dentist's office are typically 21 minutes, with a…

A: Let us denote X=the number of people seen by the doctorGiven that X follows a normal distribution…

Q: For a normal distribution with a mean of µ = 80 and a standard deviation of σ = 10, what is p(X<95)?…

A:

Q: The height of adult men in the United States is normally distributed with a mean of 70 inches and a…

A: Z = -0.67 Mu = 70 S = 3

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: We have, the population mean, μ=100                the standard deviation, σ=15 Let X=IQ score

Q: Assuming that the heights of college women are normally distributed with mean 69 inches and standard…

A: Since you have posted multiple sub-parts of question , we will solve first 3 sub-parts of question…

Q: In a normal distribution, about what percent of the data lies within one, two, and three standard…

A: We have to determine the percentage between (mean - SD, mean + SD), (mean - 2SD, mean + 2SD) and…

Q: Assuming that the heights of college women are normally distributed with mean 61 inches and standard…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: In the data set below, what is the mean and the standard deviation? Round answers to the hundredth…

A:

Q: Given that the variance for a data set 1.20, what is the standard deviation?

A: The standard deviation is calculated by taking the square root of variance. Variance is given as…

Q: For a normal distribution with a mean of μ = 90 and a standard deviation of σ = 5, what is p(X>87)?…

A: We have given the following information about the normal distribution Mean = 90 Standard deviation…

Q: Given a sample data set with a Standard Deviation of 1.34, what is the Variance of the data set.?…

A: We have to find variance.

Q: On a normal distribution, four participants obtained the following deviation scores: –5, 0, +3, and…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: Given Data: Let X represent the total point distribution   Mean=530 Standard deviation=80   X~…

Q: If the weights of newborn babies are normally distributed with a mean of 2950 grams and a standard…

A: Given, X~Nμ,σ  where μ=2950 grams    and σ=340 gramsfind P(x&lt;2610)=?

Q: The final exam scores in a statistics class were normally distributed with a mean of 63 and a…

A: The final exam scores in a statistics class were normally distributed with a mean of 63 and a…

Q: On a normal distribution, at what percentage must a. The mean fall? b. The median fall? c. The…

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is…

Q: Given a sample data set with a Coefficient of Variation of 40.2 and a Mean of 5.0, what is the…

A: Given information: For a sample data set, The value of the coefficient of variation is, CV = 40.2%…

Q: A B. 1 Doctor visits 0. 1 2. Frequency 7. 149 121 4. 5 54 4. 450 110 12 8. 12 6. 10 8. 14 11 6. 12…

A: From the provided information, A B Doctor visits Frequency 0 7 1 149 2…

Q: In a statistics class of 150 students, the mean and standard deviation of scores was 70 and 5,…

A: Given: The total number of students are N=150. The mean scores of students in a statistics class is…

Q: Consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What…

A:

Q: If a data value has a z-score of 3.00 and the mean of the distribution is 100 with a standard…

A: 1) Given data, z=3 μ=100 σ=15 X=?

Q: In a normal distribution, find the proportion of the population within three fifths of a standard…

A: We have to find out given proportion..

Q: Consider the normal distribution of IQs with a mean of 100 and a standard deviation of 16. What…

A:

Q: What percentage of a population typically lands within two standard deviations of the mean under a…

A:

Q: Given that the mean weight of senior high school students is 65kg with a standard deviation of 10.…

A: Given information Population mean µ = 65 kg Standard deviation σ = 10 We have to determine the…

Q: The percentage of observations that are contained within 3 standard deviations of the mean is O a.…

A: As per the empirical rule for normal distribution, 68%, 95%, and 99.7% of the values lie within one,…

Q: Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(xs 93)? O A.…

A:

Q: Recently, a random sample of 25–34 year olds was asked, "How much do you currently have in savings,…

A:

Q: If a normal distribution has a mean of 60 and a standard deviation of 5, complete the normal…

A:

Q: Which data set would you expect to have the highest standard deviation? Why? Heights (lengths) of…

A: 7. Answer: The b) Heights of all elementary school children have the highest standard deviation.

Q: The mean of a distribution is 50 and the standard deviation is 6. Using the empirical rule, find the…

A:

Q: If you draw a sample of 200 from a normal distribution and using the empirical rule; how many data…

A: Empirical rule: On a normal distribution about 68% of data will be within one standard deviation of…

Q: A test was given to 120 students, and the scores 8 approximated a normal distribution. If the mean…

A: