9. A team of 3 players is to be chosen from 4 boys and 5 girls. Find (i) probability distribution for the number of girls in the team. (ii) expected value and the standard deviation for the distribution
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- The life expectancy of poople in Oman is if the mean distributed. maly years and 6) years nor and standeard'deviation is (106) respectively, Find the probability that the life expectancy is between (104) and (76) gearsALICE and YouGov conducted an online poll among Americans hotel guests of more than 18 years old to understand their expectations from hotels in the year 2018-191. This poll showed that 40% of guests were interested in gaining experiences of local cuisine tastings/tours. Suppose you take a random sample of 10 hotel guests. Let, x, represent the number of guests interested in gaining experiences of local cuisine tastings/tours. Find the mean and standard deviation of x. What is the probability that x <=5? Find the probability that x > 7.A bus heading to university is always scheduled to arrive at a certain bus stop at 7:30am. The difference between the actual arrival time and 7:30am is normally distributed with mean 0 and standard deviation of 2 minutes.A student who always has a class at 8am decided to be at the bus stop at 7:28am in order to try to guarantee catching this bus. What is the probability that the student will catch the bus on any particular day?Probability = What is the probability that the student will catch the bus at least 4 times out of 5 days?Probability =
- The migratory habits of zebra in the savanna are normally distributed with a mean of 238 days and a standard deviation of 13 days. Find the probability a single zebra will migrate in les than 220 days.About 78% of all female heart transplant patients will survive for at least 3 years seventy female transplant patients are randonly selected. What is the probability that the sample proportion surving for at least 3 years will be less than 72%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to pq/n. The probability that the sample proportion surviving for at least 3 years will be less than 72% is ____________. Round answer to four decimal places.According to the Department of Health, Statistics Students sleep an average of 8 hours a night. Assume that ‘hours of sleep a night’ follows a normal distribution with a standard deviation of 1.5 hours. If a statistics student is selected at random what is the probability they sleep less than 6 hours a night? If a statistics student is selected at random what is the probability they sleep more than 8.5 hours a night? If a statistics student is selected at random what is the probability they sleep between than 5 hours and 9 hours a night?
- In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.1 inches, and standard deviation of 1.8 inches.What is the probability that the height of a randomly chosen child is between 59.1 and 60.3 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer= (Round your answer to 3 decimal places.)The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.The weights of all the turkeys sold in Fairfax County in 2020 were recorded in the data set “Fairfax Turkey Weights” found in the histogram. The weights are presented in pounds. There are 235,428 turkeys in this population. Calculate the probability that, in a random sample of eight turkeys, the mean weight is between 17 and 20 pounds. First, draw a picture with the rounded mean and values labeled and the shaded area representing the desired probability. Next, take a picture of your hand drawn sketch and upload it (if you do not have this technology, you may use any other method (i.e. Microsoft paint) to sketch the image). Then, complete this part by standardizing and using the Standard Normal Table to obtain this probability. Show your work “by hand”.
- Tom works for a fruit company and found that the weight of pineapples are normally distributed with mean is 500 grams and standard deviation is 100 grams. If he randomly chooses 16 pineapples and measure their weights, what is the probability that the average weight is more than 475 grams?Find probability cholesterol is between 300 & 400 Round to 3 decimal place