Question: A number is chosen at random between 0 and 1. What is the probability that exactly 5 of its firet 10 decimal places consist

A number is chosen at random between 0 and 1. What is 

A number is chosen at random between 0 and 1. What is the probability that exactly 5 of its firet 10 decimal places consist of digits less than 5?

Step by Step Solution

★★★★★

3.50 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Question You are answering ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Physics Questions!

Q:

A number is chosen at random from the integers 1, 2, 3, . . . , n. Let X be the number chosen. Show that E(X) = (n+1)/2 and V (X) = (n−1)(n+1)/12. Hint: The following identity may be useful: 12...

Q:

A number is chosen at random from the integers 1, 2, 3, . . . , n. Let X be the number chosen. Show that E(X) = (n+1)/2 and V (X) = (n−1)(n+1)/12. Hint: The following identity may be useful:...

Q:

A number is chosen at random from the whole numbers between 1 and 17, inclusive. (a) What is the probability that the number is odd? (b) What is the probability that the number is even? (c) What is...

Q:

Late in the day at an antique rug auction there are only two bidders left, April and Bart. The last rug is brought out and each bidder takes a look at it. The seller says that she will accept sealed...

Q:

Suppose that X is a uniform random variable where X is between 0 and 10. a. What is the probability that X will be between 0 and 3? b. What is the probability that X will be between 4 and 8? c. What...

Q:

Suppose that X is a uniform random variable where X is between 0 and 10. a. What is the probability that X will be between 0 and 3? b. What is the probability that X will be between 4 and 8? c. What...

Q:

Following is a probability density curve with the area between 0 and 1 and the area between 1 and 2 indicated. a. What proportion of the population is between 0 and 1? b. What is the probability that...

Q:

1.Problem 10.3 The number X is chosen at random between 0 and 1. Determine theprobabilitydensityfunctionofeachoftherandomvariablesV = X/(1 X) and W = X(1 X).

Q:

1.Problem11.10 Apoint(V,W)ischoseninside the unit circle as follows. First, a number R is chosen at random between 0 and 1. Next, a point is chosen at randomonthecircumferenceofthecirclewithradius...

Q:

The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Draw the graph of...

Q:

In 2009, a European study of thousands of men found that the PSA screening for prostate cancer reduced the risk of a mans dying from prostate cancer from 3.0 percent to 2.4 percent. But its already a...

Q:

What are the primary differences between cost leadership and product differentiation?

Q:

Which of the following types of plans is typically used by religious, charitable, educational, and other Question 8 options: a ) Section 4 0 3 ( b ) plan / TSA a . SEP plan b ) Section 4 5 7 plan c )...

Q:

I need a Competitive Advantage of an Australian company called Thank you. Using SWOT analysis, identify competitive advantages of the Companys operation. Your answer must be checked in turnit in...

Q:

An NM S transistor has JLnCox = 60 JLAlV2, WIL 40, V, = 1 V, and VA = 15 V. Find gm and ro when (a) the bias age V GS = 1.5 V, and when (b) the as urrentID == 0.5 rnA.

Q:

A firm plans to expand its existing business and, thus, invest in a new project. The Initial Cost on and the expected future Net Cash Flows from Project X and Project Y are given in the table below....

Q:

1. Amazon.com became the world's largest e-book seller by offering new best -selling books for a fixed price of $9.99 regardless of the fame and popularity of the author or the prestige of the...

Q:

Given that P1A B2 = .4 and P1A B2 = .8, find P1B2. 3.100 From a production batch with 16 items, 8 items are randomly selected for quality assurance. In how many different ways can the sample be...

Q:

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Q:

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

Q:

Refer to the information below: Provide solution to the Questions below. The University of Cambridge is decided to hold its requirements beneath growing monetary strain. The government continues...

Q:

Write an alternative definition that is tail-recursive (iterative) and makes use of accumulator variables. [10 marks] Explain why your alternative definition executes more efficiently. [3 marks] 1...

Q:

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...