The probability that a normal random variable is less than its mean is ______.Multiple ChoiceCannot be determined0.01.00.5

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)?0.85310.14680.93320.0668What is the probability that a normal random variable will take a value that is between 1.5 standard deviations below the mean and 2.5 standard deviations above the mean? In other words, what is P(−1.5 < Z < 2.5)?0.99380.06680.92700.0730What is the probability that a normal random variable will take a value that is more than 2.55 standard deviations above its mean? In other words, what is P(Z > 2.55)?0.99450.99460.00550.0054

Part A - Multiple choice questionsX is normally distributed with a mean of 100 and standard deviation of 5.What is the probability that an event is less than 110?

In a standard normal distribution, the probability that Z is greater than zero isQuestion 4Select one:a.0.0500b.0.2546c.0.5d.0.5123

Normal Distribution Z to Probability Question: What is the Normal Distribution probability between z = -0.37 and 0.00? Level of difficulty = 1 of 5 Please format to 3 decimal places.

Suppose that, on average, electricians earn approximately µ = $54,000 per year in the United States. Assume that the distribution for electricians’ yearly earnings is normally distributed and that the standard deviation is σ = $12,000. What is the probability that the average salary of four randomly selected electricians exceeds $60,000?Multiple Choice0.15870.69150.30850.8413