#01.  The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and the standard deviation is 8 months. Find the probability that a random sample of 30 smoke detectors will have a mean lifetime between 58 and 63 months.

Q: The amount of time it takes students to complete a biology exam is normally distributed with a…

A: Given that, The random variable X is the amount of time takes students to complete a biology exam It…

Q: A population has a mean of 33 and a standard deviation of 5 . What is the probability that the…

A: Population mean=33Population standard deviation=5Sample size n=58

Q: For a population With a mean of 75 and a standard deviation of 12, what is the probability that a…

A:

Q: During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the…

A:

Q: The distribution of scores for the third exam in a statistics course has a mean of 74 and a standard…

A: Given Information: Mean, μ=74 Standard Deviation, σ=15 Sample Size, n=36

Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.8 and a standard…

A: Given a mean of 97.8 and a standard deviation of 23

Q: A sample of 235 students was taken for an exploratory study. Each member of a random 35 of these…

A: Since the sample size is sufficiently large, and the population standard deviation is known, the…

Q: population has a mean of 350 and a standard deviation of 25, determine the probability that a random…

A: GIVEN DATA, μ=350σ=25n=40p(335<x¯<375)=?

Q: 2. Suppose the current annual salary of all teachers in the United States have a normal distribution…

A: Given that.   X~N( μ , ?)   μ=81000     , ?=6500   Z-score =( x - μ )/?

Q: About 2% of the population has a particular genetic mutation. Suppose 100 people are randomly…

A: Givenp=2%=0.02n=100x~Binomial(n=100,p=0.02)P(X=x)=(nx)(p)x(1-P)n-x  ; x=0,1,2...,n

Q: In 1999, the murder rates (per 100,000) for the 50 states and the District of Columbia had a mean of…

A:

Q: Suppose you have a distribution, X, with mean = 15 and standard deviation = 6. Define a new random…

A: It is given that  Mean of X, E(X) = 15 Standard deviation of X, SD(X) = 6 Variance of X, Var(X) = 62…

Q: Furnace repair bills are normally distributed with a mean of 263 dollars and a standard deviation of…

A: Here, µ = 263 and σ = 25.

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

A: We are given,μ = 196σ = 22n = 60

Q: have a mean GPA of 2.57 with a standard deviation of 0.71. how many of the 850 new students have a…

A: Given that.   X~N( μ , ?)   μ=2.57   , ?=0.71    Z-score =( x - μ )/?

Q: A population is normally distributed with mean 15 and standard deviation 2.6. Find the probability…

A:

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: GivenMean(μ)=6.04standard deviation(σ)=0.21Sample size(n)=33

Q: Suppose the probability a patient will recover from a disease following medication is 0.7. In a…

A: Given : the probability a patient will recover from a disease following medication is 0.7.  In a…

Q: A population is normally distributed with a mean of 50 and a standard deviation of 10. Find the…

A: Given data,Mean μ=50sd    σ=10P(X<44)=?

Q: Adult Golden Retrievers have a mean weight of 64 pounds with a standard deviation of 8 pounds. If…

A: In this scenario, it is known that the  mean weight is 64 pounds with a corresponding standard…

Q: The net weight of a can of salmon is a random variable with a mean of 6.21 ounces and a standard…

A: Solution

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A:

Q: A normal population had a mean of 70 and a standard deviation of 12. You select a random sample of…

A: μ = 70σ = 12n = 9P(x¯>73) = ?

Q: he manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A:

Q: The average number of dropouts for a school district has been 300 per year with a standard deviation…

A:

Q: If X is a number on standard dice roll, find the standard deviation (o) of X.

A: The random variable is a number on a standard dice roll.If a standard die is rolled, then its…

Q: A population has a mean of 75 and a standard deviation of 15 you randomly sample nine people from…

A: Given population have mean 75 and standard deviation 15. A sample of 9 people from the population is…

Q: normal population had a mean of 70 and a standard deviation of 12. You select a random sample of 9.…

A: given data normal distributionμ = 70σ = 12n = 9 P(x¯<66) = ?

Q: The average score of all golfers for a particular course has a mean of 61 and a standard deviation…

A: Mean()=61Standard deviation()=4Sample size(n)=64

Q: will apply for graduate school. If the population standard deviation is 10 and the sample size is…

A: Given that  Population proportion p=25%=0.25 Sample size n =100

Q: Find the mean variance and standard deviation for the number of heads when 10 coins are tossed.

A: When a coin is tossed it can it can land either head or tail. Therefore, the number of outcomes is…

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.