7.2 Normal Random Variables 1. A small college has 1460 students. What is the approximate probability...
Normal distribution: Problem 10 Previous Problem ListNext (1 point) College students average 7.2 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normally distributed, what proportion of college students sleep for more than 8.5 hours? Probability - el Preview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining Email instructor /h
1. The birthday of six random people has been checked. Find the probability that (a) At least one of them is born in September. (b) All five are born in the Spring. Spring here means one of the month March, April, or May. (c) At least two of them are born in the same month. In this problem you can assume that a year is 365 days. 2.A fair die is rolled three times. We say that a match has...
H al Random Variable n=30 2. It has been reported that 39% of college students graduate in 4 years. Consider a random sample of thirty students, and let the random variable X be the number who graduate in 4 years. a. Find the probability that exactly 13 students in the sample of 30 graduate in 4 years. b. Find the probability that 15 or fewer students in the sample graduate in 4 years. That is, find PIX S15). c. Using...
A random sample of 214 junior and senior college students was
taken. Each student reported the average amount of sleep they get
per night (in minutes) and their current college GPA. Plots from a
simple linear regression analysis are displayed below.
Which of the following is true about the linearity
condition?
1.The linearity condition is not satisfied because there is
curvature in the normal probability plot of the residuals.
2.The linearity condition is satisfied because most of the
residuals...
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X=the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters B. Find the probability that 8 students...
Use the Poisson Distribution to find the indicated probability. 6) The town of Fastville has been experiencing a mean of 59.4 car accidents per year. Find the probability that on a given day the number of car accidents in Fastville is 3. (Assume 365 days in a year.) rovide an appropriate response. 7) Find the area under the standard normal curve to the right of z -1. 8) For the standard normal curve, find the z-score that corresponds to the...
For any Normal random variable, what is the probability that the variable has a value that is more than 1.5 standard deviations away from the mean? The answer should be 0.1336 but please show the working.
Assume that any student has a 25% chance of getting into a certain college. Let the random variable X denote the number of students (from a total of 5 students who apply) who get into the school. For the following problems do not use calculator commands. a. What are the parameters n and p for the distribution? b. What is the expected number of students (out of the 5) who will be accepted to the school? c. Find the standard...
please explain by steps! very confused
10) The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that the distribution of contributions is normal with a standard deviation of $103. Find the limits for the middle 60% of contributions. 4:02 < Back Assignment Details STAT-10-06534 The Normal Approximation to the Binomial 11) According to American Airlines, Flight 215 from Orlando to Los Angeles is on time 90% of the time. Randomly select 150 flights and use...
1. Xis a normally distributed random variable with a mean of 12 and a standard deviation of 3. Calculate the probability that x equals 19.62. 2. A simple random sample of 8 employees of a corporation provided the following information 25 32 26 54 22 23 Determine the point estimate for the average age of all employees. What is the point estimate for the standard deviation of the population? Determine a point estimate for the proportion of all employees who...