Question: Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability

Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value
a. Less than 45
b. Greater than 79
c. Greater than 54
d. Less than 70

Step by Step Solution

★★★★★

3.40 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

65 and 15 a For x 45 z x 45 6515 133 Px 45 Pz 133 0918 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

492-M-S-C-R-V (616).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Let X be a continuous random variable with values in [0, 2] and density fX. Find the moment generating function g(t) for X if (a) fX(x) = 1/2. (b) fX(x) = (1/2)x. (c) fX(x) = 1 (1/2)x. (d) fX(x) = |1...

Let X be a continuous random variable with values in [0,) and density fX. Find the moment generating functions for X if (a) fX(x) = 2e2x. (b) fX(x) = e2x + (1/2)e-x. (c) fX(x) = 4xe2x. (d) fX(x) = (...

Let X be a continuous random variable with values in [0, 1], uniform density function fX(x) 1 and moment generating function g(t) = (et 1)/t. Find in terms of g(t) the moment generating function for...

1) Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 5. Find to 4 decimal places the probability that * assumes a value a. between 29...

Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value: a. Of less than 45 b. Greater than 79...

6.36 Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value a. less than 45 b. greater than...

8th-ed Chap 02, Sec 2.2, Problem 018 The accompanying table lists the 2010 median household incomes, rounded to the nearest dollar, for all 50 states and the District of Columbia. 2010 Median...

Solutions only no work needs to be shown for the 4 questions. 1.Find the area under the standard normal curve betweenz=-1.67 and z=2.44 . Round your answer to four decimal places. A= 2.Obtain the...

Let x be a continuous random variable that is normally distributed with a mean of 61 and a standard deviation of 15. Find to 4 decimal places the probability that x assumes a value a. less than 36 b....

Question 12 of 35 Current Attempt in Progress Let x be a continuous random variable that is normally distributed with a mean of 74 and a standard deviation of 15. Find to 4 decimal places the...

Backfat thickness is a variable used in evaluating the meat quality of pigs. An animal scientist measured backfat thickness (cm) in pigs raised on two different diets, with the results given in the...

Edmonton-Alston Corporation issued five-year, 9.5 percent bonds with a total face value of $700,000 on December 31, 2011, for $726,000. The bonds pay interest on June 30 and December 31 of each year....

Give an example of something we can use to enforce security policies at the language level. Encryption Algorithm Firewall Type System

Maria is working as a developer in a software development project. Since her manager got a promotion, they moved her to the managers position. And she is new to the role assigned to her. She is...

A total of 34,695 adults were asked whether they agreed with the following statement: I often feel that my values are threatened by Hollywood and the entertainment industry. Table 18 compares the...

A total of 34,695 adults were asked whether they agreed with the following statement: Evolution is the best explanation for the origins of human life on earth. Table 19 compares the adults responses...

Table 20 compares the numbers (in thousands) of students who started college at a 4-year private, a 4-year public, or a 2-year public institution in fall 2007 and their educational status as of...

Consider the following multifactor (APT) model of security returns for a particular stock. Factor Factor Beta Factor Risk Premium Inflation 1.0 9 % Industrial production 0.5 10 Oil prices 0.2 8 a. If...

What is the firm's optimal capital structure? (Calculate its corporate cost of capital at each structure. Also, note that data on component costs at alternative capital structures are not reliable in...

1. What amount comes closest to the present value of a 15-year annuity (a total of 15 consecutive payments) of $550 paid at the end of each year that does not begin until the end of the fourth year?...