in the Standard Normal distribution: (a) 2.09% of z-scores are less than z=z= (b) 17.79% of...

in the Standard Normal distribution:

(a) 2.09% of z-scores are less than z=z=

(b) 17.79% of z-scores are greater than z=z=

In each case, round your answers to at least two decimal places.

Among smartphone owners 26-35 years of age, the average number of text messages sent per day follows an approximately Normal distribution with a mean of 66 and a standard deviation of 2.

(a) What percent of smartphone owners 26-35 years of age sent an average of more than 63 text messages per day?
(b) Fill in the blank: Approximately 30 percent of smartphone owners 26-35 years of age sent an average of less than text messages per day?

(c) Fill in the blank: Approximately 5 percent of smartphone owners 26-35 years of age sent an average of more than text messages per day.

Expert Solution

orchestra answered 1 year ago

Let Z be a standard normal variable. calculate the following; P(Z less than or equal to...

Let Z be a standard normal variable. calculate the following; P(Z less than or equal to 1.29) = P(-0.76 < Z< 1.92)=

For a standard normal distribution, what is the probability that z is greater than 1.65

9. For a standard normal distribution, what is the probability that Z is greater than -1.35?...

9. For a standard normal distribution, what is the probability that Z is greater than -1.35? Round to four decimals and use leading zeros. 10. For a standard normal variable, what is the probability that Z is between -2.00 and -1.00? Round to four decimals and use leading zeros. 11. For a dataset that follows the standard normal distribution, what is the probability that Z is between 2.00 and 3.00? Round to four decimals and use leading zeros.

Find the indicated probabilities using a standard normal distribution a. P(Z < 1.85) b. P(Z <...

Find the indicated probabilities using a standard normal distribution a. P(Z < 1.85) b. P(Z < -1.54 or Z > 1.54)

What z-scores bound the middle 94% of the standard normal distribution? Round your answers to two...

What z-scores bound the middle 94% of the standard normal distribution? Round your answers to two decimal places. Left endpoint: right endpoint: For a random variable x which is normally distributed with mean 9.39 and standard deviation 1.7 Q1 = The number of widgets produced by a particular machine in one day is approximately normally distributed with mean 85.84 and standard deviation 12.95. What is the 32th percentile? (Round your answer to four decimal places.) Scores on a recent Stat...

•Vocabulary list (define) normal distribution Gaussian distribution Standard normal Z score (or Z value) •What is...

•Vocabulary list (define) normal distribution Gaussian distribution Standard normal Z score (or Z value) •What is the area under a normal distribution? •What is the area under any distribution?

Find the probability for Z>-0.97 given that Z is Standard Normal Distribution?

Find the probability for Z<1.14 given that Z is Standard Normal Distribution?

for the standard normal distribution the area to the left of z=1.02 is

Assume a normal distribution for each question. (a) What proportion of the distribution consists of z-scores...

Assume a normal distribution for each question. (a) What proportion of the distribution consists of z-scores greater than 0.25? ( b) What is the probability of obtaining a z-score less than 0.50? ( c) What is the probability of obtaining a z-score greater than −1.50? (d) What is the probability of obtaining a z-score between +1.00 and −1.00?

Question