A random variable is known to be normally distributed with the following parameters 5 5 and 0 50 a Determine the value of x such that the probability of a value from this distribution exceeding x is at most 0 10 b Referring to your answer in part a, what must the population mean be changed to if the probability of exceeding the value of x found in part a is reduced from 0 10 to 0 05

Question: A random variable is known to be normally distributed with the following parameters: = 5.5 and = 0.50 a. Determine the value of

A random variable is known to be normally distributed with the following parameters:
μ = 5.5 and σ = 0.50
a. Determine the value of x such that the probability of a value from this exceeding x is at most 0.10.
b. Referring to your answer in part a, what must the population mean be changed to if the probability of exceeding the value of x found in part a is reduced from 0.10 to 0.05?

Step by Step Solution

★★★★★

3.38 Rating (176 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The following steps are used to compute the desired value of x Step 1 Determine the mean and stand... 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)

645-M-S-D-P-D (1244).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Returns on an investment have been known to be normally distributed with mean 11% (annualized rate) and standard deviation 2%. A brokerage firm wants to test the null hypothesis that this statement...

Scores on an achievement test are known to be normally distributed with a mean of 420 and a standard deviation of 80. a. For a randomly chosen person taking this test, what is the probability of a...

The life in hours of a 75-watt light bulb is known to be normally distributed with = 25 hours. A random sample of 20 bulbs has a mean life of X = 1014 hours. (a) Construct a 95% two-sided confidence...

A random variable is known to be normally distributed with the following parameters: = 5.5 and = 0.50 a. Determine the value of x such that the probability of a value from this distribution...

A random variable is known to be normally distributed with the following parameters: m = 5.5 and s = 0.50 a. Determine the value of x such that the probability of a value from this distribution...

A random variable is known to be normally distributed with the following parameters: m 5.5 and s 0.50 a. Determine the value of x such that the probability of a value from this distribution...

An Internet retailer stocks a popular electronic toy at a central warehouse that supplies the West Africa sub-region. Every week, the retailer makes a decision about how many units of the toy to...

2. In a clinic with two physicians, Dr. X and Dr. Y, each doctor can be scheduled to see at most 3 patients per hour. The joint probability mass function is given by the following table. a.) State...

1) Consider a random variable X that is normally distributed with a mean and standard deviation ?. Converting X to a standard normal distribution _____. creates a new random variable called Z which...

What TWO properties must be satisfied by a continuous probability distribution / probability curve? 2.Explain what the meantells us about a normal curve, and explain what the standard deviationtells...

Two rigid tanks are connected by a valve as shown in the accompanying figure. Tank A is insulated and contains 0.1 m3 of steam at 500 kPa and 90% quality. Tank B is uninsulated and contains 2 kg of...

More than 272 million computer and video games were sold in 2010more than two games for every U.S. household. Gamers spend an average of 3 to 4 hours playing games online every day. The average age...

Inputs are strictly tangible. a. True b. False

A fl exible budget is: (A) a budget which, by recognising different cost behaviour patterns, is designed to change as the volume of activity changes. (B) a budget for a defi ned period of time which...

The Future-Vision Cable TV Company recently surveyed its customers. A total of 548 responses were received. Among other things, the respondents were asked to indicate their household income. The data...

Championship Billiards, owned by D & R Industries, in Lincolnwood, Illinois, provides some of the finest billiard fabrics, cushion rubber, and component parts in the industry. It sells billiard cloth...

A population has a mean of 125. If a random sample of 8 items from the population results in the following sampled values, what is the sampling error for the sample? 103 123 99 107 121 100 100 99

(1) The equation of the regression line is Y = a + bX. Match the following symbols to the description to the right. (1) Denotes the variable plotted on the horizontal axis and called the explanatory...

The following data represents the percentages of family income allocated to groceries for a random sample of 12 shoppers: 26 28 30 37 33 30 29 39 49 31 40 For these data, Calculate: 6.1 the mean (4)...

2. Gertrude Carter and Inc. has an outstanding loan with the equal annual payments of $14,903 over the 10-year life of the loan. The original loan amount was $100,000 at an APR of 8 percent. How much...