Q2.Hila City typically has rain on about 16% of days in February.a. What is the probability that it will rain on exactly 10 days in February?b. What is the mean number of days with rain in February?c. What is the variance and standard deviation of the number of days with rain inFebruary?Your answer

Given,p=0.16q=1-0.16=0.84no.of days in the month of February(n)=28Let X= no.of days will rain in the…

Answered: Hila City typically has rain on about…

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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The CPA Practice Advisor reports that the mean preparation fee for 2017 federal income tax returns was $273. Use this price as the population mean and assume the population standard deviation of preparation fees is $100. Use z-table. Round your answers to four decimal places. a. What is the probability that the mean price for a sample of 30 federal income tax returns is within $16 of the population mean? b. What is the probability that the mean price for a sample of 50 federal income tax returns is within $16 of the population mean? c. What is the probability that the mean price for a sample of 100 federal income tax returns is within $16 of the population mean? d. Which, if any, of the sample sizes in parts (a), (b), and (c) would you recommend to have at least a 0.95 probability that the sample mean is within $16 of the population mean? V - Select your answer - Sample of 30 federal income tax returns Sample of 50 federal income tax returns Sample of 100 federal income tax returns
In the 1992 presidential election, Alaska's 40 election districts averaged 1936 votes per district for President Clinton. The standard deviation was 570. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district. (Source: The World Almanac and Book of Facts) Round all answers except part e. to 4 decimal places. A. Find the probability that a randomly selected district had between 1876 and 2139 votes for President Clinton. B. e. Find the first quartile for votes for President Clinton. Round your answer to the nearest whole number.
The current government economic survey wishes to know, with 96% confidence, the average household income in Peoria to within $500 of the mean. How many randomly selected households must be used if the standard deviation of household income in Peoria is $15,500?
On a particular college campus, 29% of the students belong to a fraternity or sorority. If 44 college students are randomly chosen: a. What is the probability that no more than 11 are members of a fraternity or sorority? Round to at least three decimal places. b. What is the mean of this distribution? Round to at least one decimal. c. What is the standard deviation of this distribution? Round to at least one decimal. Question Help: Video Submit Question
. The average number of dropouts for a school district has been 300 per year with a standard deviation of 50. What is the probability that the number of dropouts next year will be: between 250 and 350? between 300 and 350?
If X is a number on standard dice roll, find the standard deviation (o) of X.
Rhoda Harley rides her motorcycle when making deliveries for Fleet Delivery Services. The number of miles she drives in a month appears to be normally distributed with a mean of 3,000 miles and a standard deviation of 200 miles. What is the probability that the number of miles she drives next month is a. Between 2,800 and 3,200 miles? b. 3,160 miles or less? c. Between 2,840 and 3,160 miles? d. At least 2,840 miles? e. Find the 87th percentile.
The probability that Mugdho loses an arm-wrestling match against Snigdho is 60.0%. Let’s say, there’s no tie. Suppose they both will play 19 matches against each other. a. What is the mean number of matches where Snigdho defeats Mugdho? b. What is the standard deviation in the number of arm-wrestling matches that Mugdho loses? c. What is the probability that the number of matches Snigdho wins is more than 1 standard deviations away from the mean value?
2. The reading speed of sixth-grade students is approximately normal. With a mean speed of 125 books per minute and a standard deviation of 24 books per minute. a. What is the probability that a sixth grader reads less than 111 books per minute? b. What is the probability that a sixth grader reads less than 156 books per minute c. What is the probability that a sixth grader reads more than 134 books per minute? d. What is the probability that a sixth grader reads between than 110 books per minute and 140 books per minute? e. What reading rates separate the middle 88% of all sixth-grade students?
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Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have BLUE eyes. Three randomly selected Americans are selected and examined for eye color. If you let success correspond to an American having BLUE eyes, calculate the following. Calculate the standard deviation.

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