It is known that 45% of new freshmen at State University will eventually graduate. Suppose we take a random sample of n=81 new freshmen at State University. Let X = the number of these freshmen who eventuallygraduate. (Do not use a normal approximation for this problem. This is a binomial problem.)a) What is the probability that X < 45?b) What is the probability that 40 ≤ x ≤ 50?c) What is the probability that X = 48?d) What is the expected value of X?e) What is the variance of X?f) Copy your R script for the above into the text box here.

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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...

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18 - The lifetime of the phones produced in factory A is 2900 days. The phones produced in factory B have a lifespan of 2600 days. A sample of 50 telephones was taken from factories A and B. Since the standard error of the difference between the sample averages of the phone lifetimes is 25.49, what is the probability that the mean of the sample from factory A will be more than 325 days from the mean of the sample from factory B?A) 0.1635 B) 0.483 C) 0.237 D) 0.331 E) 0.95
Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places
21.
A die has been “loaded” so that the probability of rollingany even number is 2/9 and the probability of rollingany odd number 1/9 is What is the probability of(a) rolling a 5?(b) rolling a 5, given that an even number is rolled?(c) rolling a 5, given that an odd number is rolled?
16. For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year.
13. A continuous random variable is uniformly distributed between 200 and 220. a. What is the probability a randomly selected value will be greater than 215? b. What is the probability a randomly selected value will be less than 205? c. What is the probability a randomly selected value will be between 205 and 215? a. P(x > 215) = (Simplify your answer.) b. P(x< 205) = (Simplify your answer.) c. P(205
10) In a particular class (in another department) the statistics of scores on two midterms and one final revealed the following facts: a) The probability to pass the final is 1/2 b) The probability to pass the final – given that both midterms were passed– is 3/4/. c) The probability to pass the final – given that at least one of the midterms was flunked– is 1/4..d) Passing the first and second midterm are independent events with equal probability. Based on the above information, compute the probability of passing the first midterm.
6. DETAILS c) What is the probability that X = 31? It is known that 41% of new freshmen at State University will graduate within 6 years. Suppose we take a random sample of n=70 new freshmen at State University. Let X = the number of these sampled freshmen who graduate within 6 years. (Do not use a normal approximation for this problem. This is a binomial problem.) a) What is the probability that X < 29? b) What is the probability that 28 ≤ x ≤ 31? d) What is the expected value of X? e) What is the variance of X? MY NOTES f) Copy your R script for the above into the text box here. ASK YOUR TEACHER
The finish of a hole depends on the edge of the bit used, only 1% of the holes with a new drill have an irregular cut, 3% have an irregular cut with average bits and 5% present irregular cut with worn bits. If 25% of the holes are made with new bits, 60% have average edges and 15% are worn out. [use 3 decimal places] a) If a piece is taken at random, what is the probability of having holes irregular? b) If a piece with irregular holes is taken, what is the probability that would have been made with an average drill bit?
2. The number of meteors found by a radar system in any 30-second interval under specified a. What is the probability that at least one meteor is found in a one-minute interval? ne meteors appear randomly b. Determine x such that the probability no meteor is found in x-minute interval is 0.02. UTM M UTM UTM c. If there is no meteor appear after two-minute interval, what is the probability that it UTM will appear in the next one and a half-minute interval? m UTM
c) If the probability that a person scores below a particular value is 0.7, then the probability a person scores above that value equals? d) If the probability that a person scores between a particular positive z value and the mean is 0.31, then the probability a person scores above that value equals?
How can I solved Question d and e?

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