A bunch of students were taking an exam. The results is assume to be a normalprobability distribution with a mean of 112 and standard deviation of 8.a. What is the probability that someone likely to have less than 115 successes?b. What is the probability of 100 to 110 successes?c. What is the probability of 130 or more successes?d. What score will some need to have in order to be within the top 5%.

given data normaL distributionμ = 112σ = 8

Answered: A bunch of students were taking an…

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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In the 1992 presidential election, Alaska's 40 election districts averaged 2008 votes per district for President Clinton. The standard deviation was 573. (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 fewer than 2096 votes for President Clinton. b. Find the probability that a randomly selected district had between 2047 and 2177 votes for President Clinton.c. Find the third quartile for votes for President Clinton. Round your answer to the nearest whole number.
Please answer number 3
The price of lunch at the mall has a mean of $5.00. The standard deviation is $1.50. What is the probability of spending less than $5.62? 0.6603 1.000 0.5000 0.3397
a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
M2
Assume the average price for a movie is $7.35. Assume the population standard deviation is $0.44 and that a sample of 40 theatres was randomly selected. What is the probability that the sample mean will be less than $7.31?
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The standard deviation of a variable that has a normal distribution controls? a. The spread of the curve and is interpreted as the typical distance and observation is from the mean b. The spread of the curve and is interpreted as the typical outcome c. The probability is equivalent to the binomial formula calculation, but very rare d. The location of the curve and is interpreted as the mean or average outcome
K The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before (Round to the nearest integer as needed.) days are considered premature. .

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