There are many firms that belong to the same industry. It is known that there are in average 74 people in a firm with a standard deviation of 25. Find the probability P(X<73.4), if 16 firms are randomly selected.

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12 inches,…

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

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

A:

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

A: Given : μ = 8.4 , σ= 1.8 and n= 40 By Central Limit Theorem, x̅ follows a Normal distribution with…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.7 inches,…

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: Suppose the grades in a finite mathematics class are Normally distributed with a mean of 75 and a…

A:

Q: For a random variable that is normally distributed, with a mean of 80 and standard deviation of…

A:

Q: The accountants of a known auditing firm have a mean daily salary of P850 with a standard deviation…

A: X~N(μ= 850 , σ= 82 ) μ= 850 , σ= 82 Formula for Z-score Z=(X-μ)/σ

Q: If X is a normally distributed random variable with a mean of 80 and a standard deviation of 12,…

A: Given that.   X~N( μ , ?^2 )   μ=80     , ?=12   Z-score =( x - μ )/?

Q: An insurance company knows that in the entire population of millions of homeowners, the mean annual…

A: The central limit theorem states if the sample size is greater than 30(n&gt;30),then the sampling…

Q: A study of the amount of time it takes a hiker to hike to the bottom of the Grand Canyon and back to…

A: Given: μ = 12 σ = 2.4 n = 9

Q: The average number of moves a person makes in his or her lifetime is 12. If the standard deviation…

A: From the provided information, Mean (µ) = 12 Standard deviation (σ) = 3.2 Sample size (n) = 36 a)…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.6…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10.6…

A: Obtain the Z-score for the random variable X equals 8.9. The Z-score for the random variable X…

Q: A small aircraft carries 20 passengers and has doors with a height of 72 in. Heights of men are…

A:

Q: The buffet has an average wait line of 45 minutes, with a standard deviation of 15 minutes. If we…

A: Given Data Population Mean,μ = 45.0 Population Standard Deviation,σ = 15.0

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 18 inches,…

A: Let X be the random variable from normal distribution with mean (μ) = 18 inches and standard…

Q: Suppose the grades in a finite mathematics class are normally distributed with a mean of 75 and a…

A: Given Data: The mean of the distribution is: μ=75 The standard deviation of the distribution is: σ=5…

Q: An electrical company claims that the average life of the bulbs it manufactures is 1 300 hours with…

A: The mean is 1,300 and the standard deviation is 260 hours.

Q: The entrance test scores for SHS in a certain school has a mean of 85 and a standard deviation of…

A:

Q: On average a supermarket sells 500 litres of milk a day with a standard deviation of 50 litres. If…

A: Assume, X be the random variable representing the quantity of milk sold per day (in liters). It is…

Q: If a random sample of size 14 is drawn from a normally distributed population with mean 43.5…

A: Let, X=the variable Given that X follows a normal distribution with mean=43.5 and standard…

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: Given: Population standard deviation = sigma = 16 n = 64 P( sample mean within 2 units from…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 18.8…

A: The probability that it is less than 18.8 inches long when one item chosen at random is obtained…

Q: Suppose that the latest census indicates that for every 10 young people available to work only 4 are…

A: Solution: Let X represent the number of people are employed.  The probability of people are employed…

Q: The average public elementary school has 468 students with a standard deviation of 87. If a random…

A: Given: Mean=μ=468 Standard deviation=σ=87

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 19.4…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13.9…

A:

Q: The owner of a fish market has an assistant who has determined that the weights of catfish are…

A: Given information:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 11.9…

A: Mean = 11.9 Standard deviation = 1.3

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.8…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15 inches,…

A: Mean = 15 Standard deviation = 1

Q: An electrical company claims that an average life of bulbs it manufactures is 1200 hours with a…

A: Given that : μ= 1200 hour  ? = 250 hours  n = 100 By using the central limit theorem we solve this…

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

A: Given Information: Mean = 8.4 Standard Deviation = 1.8 n = 40

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.4…

A: Mean = 12.4 Standard deviation = 1.7

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given,mean(μ)=35standard deviation(σ)=7.5sample size(n)=50

Q: Suppose that from the past experience a professor knows that the test score of a student taking his…

A: Here, µ=60, σ=10, E=1.5

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Solution: We are given:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 11 inches,…

A: Given :  sample mean = 11             standard deviation of samples=1.722=0.3624412178…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.3 inches,…

A:

Q: According to an annual survey conducted by TheKnot.com, the mean cost of a wedding in 2017 was…

A: Given information: Mean=33, 391 Standard deviation=1500 a) The probability that a randomly selected…

Q: Suppose that the number of gallons of milk sold per day at a local supermarket are normally…

A: Let X denote the number of gallons of milk sold per day. X ~ N(424.7,460.9609)

Q: Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a…

A: Given :  sample with mean of 151 and standard deviation of 27 we have to find P(X &gt; 158 )

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 6.7 inches,…

A:

Q: An electrical company claims that the average life of the bulbs it manufactures is 1200 hours with…

A:

Q: Suppose that from the past experience a professor knows that the test score of a student taking his…

A: If a random variable X has a distribution with mean µ and standard deviation σ, then the Z-score is…

Q: From past experience, it is known that the number of tickets purchased by students standing in line…

A: Given μ=2.4σ=2.0

Q: At a certain beer bottling plant, the amount of beer that is put in a bottle is known to be…

A:

Q: Suppose that an airline uses a seat width of 16.3 in. Assume men have hip breadths that are normally…

A: It is given that the mean is 14.5 and standard deviation is 11.