is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find these probabilities of the earnings of a teacher selected randomly. Round the final answers to at least four decimal places and

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: Find the probability that the sample mean is between 40 and 50. Sample size is 36 are drawn randomly…

A: From the provided information, Mean (µ) = 45 Standard deviation (σ) = 20 X~N (45, 20) Sample size…

Q: The SAT math scores of a particular high school in New Jersey are approximately normally…

A: From the empirical rule we know that 95% of the observations falls in (µ-2σ,µ+2σ)  Where µ is the…

Q: The average per capita income for residents of Pennsylvania is $32,711 with a standard deviation of…

A:

Q: The average price of a college math textbook is $168 and the standard deviation is $20. Suppose that…

A: The average price of a college math textbook is $168 and the standard deviation is $20. Suppose that…

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: A data set is formed by recording the sums in 400 rolls of a pair of a dice. A second data set is…

A: Standard deviation:The standard deviation indicates by how much each observation differs from a…

Q: Q4. Suppose a poll of 15 voters is taken in a large city. The purpose is to determine x, the number…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A:

Q: 2. Suppose that the mean lifetime of a random sample of 25 batteries produced by a factory is 700…

A: Solution: 2. Let X be the lifetime of a battery. From the given information, X follows normal…

Q: The mean number of eggs that a person consumes per year is 293.6 pieces. Assume that the standard…

A: The number of egg consume are normally distributed with a mean 293.6 and a standard deviation of…

Q: Enter all answers to the nearest tenth. A day care program has an average daily expense of $75.00.…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of u= 105 and a standard…

A: Solution

Q: A couple plans to have 14 children. Assume that girl and boy births are equally likely. Find the…

A: A couple plans to have 14 children. Assume that girl and boy births are equally likely.

Q: During one of the Kahana Resort’s “Trivia Nights,” 480 guests took the test on “Island Trivia.”  The…

A: Introduction: Define X as the random variable of interest here, which denotes the score obtained by…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

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Q: Below represents the amounts that a random sample of employees reported that they spent on dinner…

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Q: 4. A car salesperson notes that she sells either 1, 2, 3, 4, 5 or 6 cars per week with equal…

A:

Q: Suppose, you play a game, and the result is simply "win" or "lose". For every 15 games played, you…

A:

Q: You want to determine the probability that when seven consumers are randomly selected, exactly two…

A: 1. n = 7, x = 2, p = 0.45, q = 0.552. Mean, μ = 3.15    Standard Deviation, σ = 1.31623. P(X = 2) =…

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs. and the…

A: Let "X" be the weight of steers in a herd.

Q: c. What is the probability that a randomly selected tax return refund will be between $3200 and…

A: given dataμ=3142σ=926normal distribution

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

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: The monthly electric bill for a local business had a mean of 1135. The values go from 1160 to 1300…

A: Given Information: mean=1135Minimum value=1160Maximum value=1300

Q: The mean number of eggs that a person consumes per year is 293.6 pieces. Assume that the standard…

A:

Q: The average hourly wage for manufacturing workers in the United States is $16.08 per hour, with a…

A: For the distribution (specified to be normal) of the hourly wage (in ) for manufacturing workers in…

Q: For a certain group of individuals, the average heart rate is 74 beats per minute. Assume the…

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Q: Below are the times ( in days) it takes for a sample of 6 customers from Ivan's computer store to…

A: Answer:- Given sample is, 21, 29, 36, 28, 40, 32Using formula,

Q: The average height of grade 11 female students of a certain college is approximately normally…

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Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

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

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Q: Assume that adults have IQ scores that are nomally distributed with a mean of u= 100 and a standard…

A: It is given that the mean is 100 and standard deviation is 15.

Q: Data from the Bureau of Labor Statistics' Consumer Expenditure Survey show that annual expenditures…

A: Given: The average annual expenditure for cellular phone services=μ. The standard deviation of…

Q: The average student loan debt for college graduates is $26,000. Suppose that that distribution is…

A: The standard normal distribution is the continuous probability distribution. The formula to find the…

Q: Children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the…

A: A normal distribution follows a bell shaped curve which is centred at the mean and it is also called…

Q: d. Suppose the company wanted to give raises to the employees who were in the lowest 20% salaries at…

A: Z = x-μσ~N(0,1) NORMSINV() -----------Excel function

Q: Refer to the accompanying table, which describes the number of adults in groups of five who reported…

A:

Q: You want to know the percentage of utility companies that earned revenue greater than 94 million…

A: Given Mean(μ)=60standard deviation(σ)=15

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: Mean()=105standard deviation()=15