Illustration 73.Using Poisson's approximation to the Binomial distribution, solve the followingproblem :If the probability that an individual suffers a bad reaction from a particularinjection is 0.001, determine the probability that out of 2000 individuals (i) exactlythree, and (ii) more than two individuals will suffer a bad reaction (Given,e-² = 0.13534)

Answered: Image /qna-images/answer/d938b02f-1947-4aae-8ac0-f11ef9c673ca.jpg

Answered: Illustration 73. Using Poisson's…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

You flip an unfair coin with Pr[H]=0.2 three times. Find the expected number of heads flipped.
Suppose X has an exponential distribution with mean equal to 12. Determine the following: (a) P(X > 10) (Round your answer to 3 decimal places.) (b) P(X > 20) (Round your answer to 3 decimal places.) (c) P(X < 30) (Round your answer to 3 decimal places.) (d) Find the value of x such that P(X
Exercise 15. The probability an examinee scores above 90% on a certain standardized exam is 0.08. (a) Let X be the number of exams you must sample before you finally see ten with scores above 90%. Compute E(X) and sd(X). (b) Consider the random experiment, "Sample exams until you see ten with scores above 90%." Suppose you repeat this random experiment a trillion times and record the number of exams sampled (X values) each time. What is the (i) sample average and (ii) sample standard deviation of these trillion X values?
4. For a Binomial distribution of 10 trails, P(X-3) = 3P(x-4). Find the standard deviation of the distribution and P(X=2). Solution:
#6
The geometric distribution gives the probability that the first success occurs at the xth trial with success probability p. f(x)=(1-p)x-1p, x=1,2,3,... Show that E(X)=1/p
7. If you made only n = 1 measurement of rack height, the standard deviation of 41 measurement would be (a) zero, because there is no difference between the value and the average. (b) Equal to the measured value. (c) Undetermined, because you need more measurements to find a standard deviation (d) Infinite because the denominator (n – 1) is zero.
You obtain 336 successes in a sample of size n1=391n1=391 from the first population. You obtain 419 successes in a sample of size n2=472n2=472 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the test statistic for this sample
Quick!
P(-0.34
If I had a series of data X = (x₁+x₂+x₂+ 1 2 +xN} I would have a mean and standard deviation, and s X If I subtracted 3 from every observation in the data series, X, which of the following would happen? The mean of X will increase by 3 The mean of X will decrease by 3 The standard deviation of X will be three times as large The standard deviation of X will be one third as large 3 ...
Example 9-4. X is a normal variate with mean 30 and S.D. 5. Find the probabilities (i) 26 45, and (iii) |X – 30l > 5.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS