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Chapter 6: Q.6 (page 385)

X~N(3,5)蟽=____________

Short Answer

Expert verified

The value of蟽=5

Step by step solution

01

Given Information

X~N(3,5)蟽=_____________

We have to find the value of蟽

02

Explanation

It is provided that,

X~N(3,5)

Compare the above random variable Xfrom the general random variable for normal distribution, which is shown as below:

X~N(渭,蟽)

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Most popular questions from this chapter

Suppose X ~ N(9, 5). What value of x has a z-score of 鈥�0.5?

X~N(6,2)

Find the probability that xis between three and nine.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.

a. If X=distance in feet is for a fly ball, then X~

b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball will travel fewer than 220 feet? Sketch the graph. Scale the horizontal axis XShade the region corresponding to the probability. Find the probability.

c. Find the 80ithpercentile of the distribution of fly balls. Sketch the graph, and write the probability statement.

A The distance of fly balls hit to the outfield in baseball is denoted as: N~N(250,50)

B: The probability that a randomly selected fly ball traveled fewer than 220 feet is given by P(x<220)=0.2743

In 2005,1,475,623students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean 碌=520and standard deviation 蟽=115

  1. Calculate the z-score for an SAT score of 720. Interpret it using a complete sentence.
  2. What math SAT score is 1.5 standard deviations above the mean? What can you say about this SAT score?
  3. For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternate to the SAT and is approximately normally distributed with mean 21 and standard deviation 5.3. If one person took the SAT math test and scored 700 and a second person took the ACT math test and scored 30, who did better with respect to the test they took?

In a normal distribution, x = 鈥�5 and z = 鈥�3.14. This tells you that x = 鈥�5 is ____ standard deviations to the ____ (right or left) of the mean.
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