Solution :
Given that,
mean = = 10
standard deviation = = 2
a ) P( x < 5 )
P ( x - / ) < ( 5 - 10 / 2)
P ( z < - 5 / 2 )
P ( z < - 2.5)
Using z table
=0.0062
Probability =0.0062
a ) Using standard normal table,
P(Z > z) = 1%
1 - P(Z < z) = 0.01
P(Z < z) = 1 - 0.01 = 0.99
P(Z < 2.326) = 0.99
z = 2.326
Using z-score formula,
x = z * +
x = 2.32 * 2 + 10
= 14.64
The wait time = 14.64
bution The time required to fill a prescription at a local pharmacy is at is normally distributed with a mean of 10 minutes and a standard deviation of 2 minutes. a. What is the probability that...
Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed. Assume the standard deviation is 11 minutes and the z score is -1.3. What is x? 20.7 0.0 -14.3 14.3 -20.7
The time required to complete a task is normally distributed with a mean of 30 minutes and a standard deviation of 12 minutes. What is the probability of finishing the task in less than 28 minutes? 1) 5662 2) 9672 O3).0328 4).4338
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5 minutes and the standard deviation of the waiting time is 3 minutes. Find the probability that a person will wait for less than 7 minutes. Round your answer to four decimal places.
Assume the random variable x is normally distributed with mean u = 80 and standard deviation c=5. Find the indicated probability. P(65<x< 73) P(65<x< 73)=0 (Round to four decimal places as needed.) X 5.2.17 Use the normal distribution of SAT critical reading scores for which the mean is 507 and the standard deviation is 122. Assume the vari (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about...
The wait time for a table at a particular restaurant are normally distributed, with a mean of 25 minutes. Seventy-five percent of the parties who dine there wait less than 30 minutes for a table. What is the standard deviation of wait times at the restaurant?What percent of the parties wait for more than 15 minutes?
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $13. Find the probability that a randomly selected (a) less than $70. (b) between $85 and $100, and (c) more than $110. (a) The probability that a randomly selected utility bill is less than $70 is _______
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. Answer the following questions. (a) What is the probability of completing the exam in one hour or less? (b) What is the probability that a student will complete the exam in more than 60 minutes but less than 65 minutes? (c) Assume that the class has 50 students and that the examination period is...
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $14. Find the probability that a randomly selected utility bill is (a) less than $65, (b) between $87 and $100, and (c) more than $110. (a) The probability that a randomly selected utility bill is less than $65 is _______ (Round to four decimal places as needed.) Use the normal distribution to the right to answer the questions. (a) What percent of the...
The time required to assemble an electronic component is normally distributed, with a mean of 12 minutes and a standard deviation of 1.5 minutes. Find the probability that a particular assembly take less than 10 minutes. a. 0.6542 b. 0.0918 c. 0.8164 d. 0.9082 e. 0.4541
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $16. Find the probability that a randomly selected utility bill is (a) less than $69. (b) between $84 and S90, and (c) more than $120 (a) The probability that a randomly selected utility bill is less than $69 is _______ (b) The probability that a randomly selected utility bill is between $84 and $90 is _______ (c) The probability that a randomly selected utility...