1) Assume that X has a normal distribution, and find the indicated probability. The mean is ...
Question:
1) Assume that X has a normal distribution, and find the indicated probability.
The mean is μ = 60.0 and the standard deviation is σ = 4.0.
Find the probability that X is less than 53.0.
2) Assume that X has a normal distribution, and find the indicated probability.
The mean is μ = 15.2 and the standard deviation is σ = 0.9.
Find the probability that X is greater than 15.2.
3) Assume that X has a normal distribution, and find the indicated probability.
The mean is μ= 15.2 and the standard deviation is σ = 0.9.
Find the probability that X is greater than 16.1.
4) Assume that X has a normal distribution, and find the indicated probability.
The mean is μ = 15.2 and the standard deviation is σ = 0.9.
Find the probability that X is greater than 17.
5) Assume that X has a normal distribution, and find the indicated probability.
The mean is μ = 15.2 and the standard deviation is σ = 0.9.
Find the probability that X is between 14.3 and 16.1.
6) Assume that X has a normal distribution, and find the indicated probability.
The mean is μ = 22.0 and the standard deviation is σ = 2.4.
Find the probability that X is between 19.7 and 25.3.
7) Assume that X has a normal distribution, and find the indicated probability.
The mean is μ = 137.0 and the standard deviation is σ = 5.3.
Find the probability that X is between 134.4 and 140.1.
8) The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches?
9)The incomes of trainees at a local mill are normally distributed with a mean of $1100 and a standard deviation of $150. What percentage of trainees earn less than $900 a month?
10) The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?