Question: Let the random variable X follow a normal distribution with = 0.2 and 2 = 0.0025. a. Find the probability that X is greater

Let the random variable X follow a normal with μ = 0.2 and σ2 = 0.0025.
a. Find the probability that X is greater than 0.4.
b. Find the probability that X is greater than 0.15 and less than 0.28.
c. Find the probability that X is less than 0.10.
d. The probability is 0.2 that X is greater than what number?
e. The probability is 0.05 that X is in the symmetric interval about the mean between which two numbers?

Step by Step Solution

★★★★★

3.48 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

X follows a normal distri... 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)

488-M-S-C-R-V (445).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Let the random variable X follow a normal distribution with m = 50 and s2 = 64. a. Find the probability that X is greater than 60. b. Find the probability that X is greater than 35 and less than 62....

In tossing three fair coins, let the random variable X be defined as X = number of tails. Then the distribution of X is given by Write down the Metropolis or Metropolis-Hastings algorithm for...

Let the random variable X be equally likely to assume any of the values 1/8, 1/4, or 3/8. Determine the mean and variance of X.

Let the random variable X follow a normal distribution with = 30 and 2 = 81. a. Find the probability that X is greater than 40. b. Find the probability that X is greater than 15 and less than 43....

Let the random variable X follow a normal distribution with = 50 and 2 = 64: Find a symmetric interval about the mean for which the probability of X being in this interval is 0.95. SOLUTION This...

Let the random variable x follow a normal distribution with = 6 0 and 2 = 8 1 . a . Find the probability that x is greater than 7 0 . b . Find the probability that x is greater than 4 5 and less than...

Let the random variable X follow a normal distribution with =70 and 2=64. a. Find the probability that X is greater than 80 . b. Find the probability that X is greater than 60 and less than 84 . c....

Let the random variable X follow a normal distribution with =50 and 2=49. a. Find the probability that X is greater than 60 . b. Find the probability that X is greater than 35 and less than 61 . c....

Let the random variable X follow a normal distribution with =70 and 2=49. a. Find the probability that X is greater than 70. b. Find the probability that X is greater than 50 and less than 75. c....

3. In a survey of top executives, it was found that 46% had either traveled internationally on business or could fluently speak a foreign language. The probability that an executive who had not...

Concord Ready-mix applies process costing as it produces a single product in large volume. The process line (partial) for Mixing Department is given below: Compute cost of normal spoilage and show...

The UK has a very high level of income inequality compared to other OECD countries. According to the Office for National Statistics (ONS), the poorest fifth of society in the UK has only 8% of the...

MNIST ( " Modified National Institute of Standards and Technology" ) is the de facto "hello world" dataset of computer vision. Since its release in 1 9 9 9 , this classic dataset of handwritten...

8. In the____________ , companies typically record depreciation and____________ amortization expense that far exceeds physical wear-and-tear on assets.

Refer to exercise. a. What hypotheses are implied in this problem? b. At the = .05 level of significance, can we reject the null hypothesis in part (a)?Explain. Source of Variation of Squaresof...

Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted at two stores where the...

1. What is Evanec's cost of retained earnings, rs ? Do not round intermediate calculations. Round your answer to two decimal places. rs=% What is Evanec's percentage flotation cost, F? Round your...

Roz owns a large-scale swimming school Women On Water. To become a member and student, individuals need to sign up for membership, of which there are three levels: Gold, Silver and Bronze. Jenny has...

Innovative Tech Inc. (ITI) uses the percentage of credit sales method to estimate bad debts each month and then uses the aging method at year-end. During November 2010, ITI sold services on account...