A population of values has a normal distribution with = μ 77.6 and σ = 11.5. You intend to draw a random sample of size n = 68. Find the probability that a sample of size n = 68 is randomly selected with a mean greater than 80.7. 2.22289173 ✓

The random variable X is described by using the gamma distribution with α = 5 and  λ = 1. Find the standard deviation of X.

Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find the 77th percentile.   The 77thpercentile is:

A population of values has a normal distribution with μ=67.9μ=67.9 and σ=44.8σ=44.8. You intend to draw a random sample of size n=17n=17.Find the probability that a single randomly selected value is greater than 94

A population of values has a normal distribution with μ=74.1μ=74.1 and σ=17.3σ=17.3. A random sample of size n=73n=73 is drawn. Find the probability that a sample of size n=73n=73 is randomly selected with a mean greater than 78.4. Round your answer to four decimal places. P(M>78.4)=P(M>78.4)=

Assume the random variable X is normally distributed with a mean of 130 and standard deviation of 21.5. State answers to THREE decimals.   P (140 < x < 165) = P( x > 105) =

Find the p-value for the hypothesis test. A random sample of size 54 is taken. The sample has a mean of 375 and a standard deviation of 83. H0: µ = 400 Ha: µ< 400 The p-value for the hypothesis test is . rounded to 4 decimal places

A random variable X is normally distributed. It has a mean of 270 and a standard deviation of 31. For a sample of size 21, the mean is 270 and the standard deviation is 6.76. 1.  Find the probability of getting a sample mean greater than 277.85 when taking a sample of size 21 from this population.