Assume the random variable x is normally distributed with mean μ = 50 and standard deviation a=7. Find the indicated probability. P(x > 38) P(x>38) = (Round to four decimal places as needed.) XXXX

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)   μ = 110; σ = 18 P(x ≥ 90) =

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An Assume the random variable x is normally distributed with mean p=82 and standard deviation o=4. Find the indicated probability.P(x<80)P(x<80)=(Round to four decimal places as needed.)

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 95; σ = 18 P(x ≥ 90) =

Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.)   P(z ≥ −1.60)= _______________Shade the corresponding area under the standard normal curve.

Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard deviation, o = 2.8, find a value xo that represents the 80th percentile of the distribution. Answer should be accurate to two decimal places.

K Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OB. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. C. Since the distribution is of individuals, not sample…