Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard devlation of 7.5 grams of fat per pound. A random sample of 36 farm-raised trout is selected. The mean fat content for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 36 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Q: Approximate the mean of the random variable X based on the simulation for 25 games. hits

A: The sample size is 25.

Q: A recent law has been passed banning the use of hand-held cell phones while driving, and a survey…

A: The question is based on a discrete prob. distribution Given : Prob. that driver's refrain from…

Q: In the second quarter of 2015, the average movie ticket cost $8.61. In a random sample of 50 movie…

A:

Q: In a large population of college-educated adults, the mean IQ is 112 with standard deviation 25.…

A:

Q: If a typist makes errors at random at a mean rate of 3 per page, then the probability of making at…

A: Let X denote the number of errors on two pages.  It is given that Number of errors per page = 3,…

Q: If the mean and the sd. dev. of serum iron values for healthy men are 120 and 15 microgram per 100…

A:

Q: The

A: It is given that the sample size is n=50. The probability that a workforce belongs to a union is…

Q: The proportion of the stationary supply sold during the month is a beta random variable with a = 4…

A: Let X denote the proportion of the stationary supply sold during a month. Given that X follows Beta…

Q: In a survey of U.S. men, the heights in the 20 –29age group were normally distributed, with a mean…

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: A civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes,…

A: Given Information: Population mean (u) = 24 minutes Standard Deviation (s) = 3.80 minutes Target…

Q: In a study of work patterns in one population, the mean weekly family time devoted to child care is…

A:

Q: The average weight of an NFL player is 245.7 pounds with a standard deviation of 34.5 pounds, but…

A: From the provided information, Mean (µ) = 245.7 Standard deviation (σ) = 34.5

Q: A newspaper survey found that 65% of readers found online tutorials useful. If a random sample of 9…

A: We have given that a Binomial distribution with parameters p=65% = 0.65 , q=1-p = 0.35 and sample…

Q: The operation manager at a tire manufacturing company believes that the mean mileage of a tire is…

A:

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random…

A:

Q: The number of alpha particles emitted by a lump of uranium in a given minute is modeled by a Poisson…

A:

Q: Find the probability that 120 randomly selected adult males have a mean weight greater than 200 lbs.

A: It is given that the mean of the adult males is 182.9, the standard deviation is 40.8 and the sample…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: X follows a Normal distribution with mean = 182000 and S.D = 39000 Then z=(x-mean)/SD =…

Q: (a) A 120-watt fluorescent light has an average brightness of 1986 lumens, with a standard deviation…

A: Given : μ=1986 σ=94

Q: From past experience, a professor knows that the test score of a student taking her final…

A: Given that the mean is 75 and variance is 25 That is, μ=75σ=25=5

Q: The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a…

A: For the given data Find all the required blanks

Q: For an exercise study, a large group of male distance runners walk on a treadmill for five minutes.…

A: From the given information,   Mean = 117.6 Standard deviation = 8.1   The objective is to find the…

Q: Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives. Use the…

A: this is binomial distribution mean of binomial distribution = np variance of binomial distribution =…

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a poisson random…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: Find the standard deviation o of the random variable X given the probability distribution

A: Steps to find the standard deviation δ for given probability distribution - Step 1. Find x.P(x)Step…

Q: probability that the 7th message is received within 20 seconds?

A: Given: X=Number of messages sentX~Poisson(λ=20)λ=20 per minute The probability density function for…

Q: The tread life of tires mounted on light-duty trucks follows the normal probability distribution…

A: Sampling distribution of sample mean taken from normal population is also normally distributed.

Q: The CPU time requirement of a typical program measured in minutes has a three-stage Erlang…

A: Erlang distribution is the special case of Gamma Distribution. The random variable X takes the…

Q: An immigration agent at Pearson Airport in Toronto could on the average process 120 entrants during…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: Given Information: Mean μ=196 Standard deviation σ=22 Let X denote the number of red meat a person…

Q: For a normal random variable with mean 650 and standard deviation 40, find the probability that its…

A: Given information- Population mean, μ = 650 Population standard deviation, σ = 40 Let X be the…

Q: Assume the average weight of a schoolchild's book bag is 17.5 pounds, with a standard variation of…

A: Let X be a random variable that denotes the weight of the child's school bag. Then, it is provided…

Q: A certain type of tree has seedlings randomly dispersed in a large area, with the mean density of…

A: Given, Let Y be the number of seedlings that are randomly dispersed in a region. Y~P(λ)…

Q: For people over 50 years old, the level of glucose in the blood (following a 12 hour fast) is…

A:

Q: An automated machine in a manufacturing process is operating properly if the length of animportant…

A:

Q: The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 360…

A: Given info: The weight of a small Starbucks coffee is a normally distributed random variable with a…

Q: A Statistics show that on an average weekend night, 1 out of every 10 drivers on the road is drunk.…

A: Given data, n=400 p=110q=1-p=910 P(25<X<38)=?

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A:

Q: According to Chebychev's theorem, the probability that the random variable Y differ from the mean u…

A: The provided information is:

Q: The mean value of the Gaussian probability distribution is numerically equal to its variance. True…

A: The Gaussian probability distribution has two parameters mean and variance.

Q: The owner of a fast-food restaurant knows that, on average, 2.4 cars (customers) use the…

A:

Q: An industrial designer wants to determine the average amount of time an adult spends building an…

A: Given information: Confidence level = 95% Significance level α=0.05 The given data is as follows:…

Q: A semi-truck can transport a maximum of 14,950 pounds. Suppose that a load of cargo containing 115…

A:

Q: The tread life of tires mounted on light-duty trucks follows the normal probability distribution…

A: The following information has been given: Let X be a random variable represents the tread life of…

Q: If a random variable that is normally distributed has a mean of 25 and a standard deviation of 3,…

A: Given,mean(μ)=25standard deviation(σ)=3

Q: Still in the same context, aproximate the probability of having at most 26 jurors using the normal…

A: Here, n = 40 and p = 0.80.

Q: The number of goals scored at State College hockey games follows a Poisson distribution with a mean…

A: It is given that, The number of goals follows a Poisson distribution with a mean of 3 goals per…