NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Considerselecting a random sample of 15 children and let X be the number in the sample who have a food allergy. ThenX ~ Bin(15, 0.05). (Round your probabilities to three decimal places.)In USE SALT(a) Determine both P(X S 2) and P(X < 2).P(X S 2)P(X < 2) =(b) Determine P(X 2 3).P(X 2 3) =(c) Determine P(1 < X S 2).P(1 S X S 2) =(d) What are E(X) and oy? (Round your answers to two decimal places.)E(X) =(e) In a sample of 40 children, what is the probability that none has a food allergy?You may need to use the appropriate table in the Appendix of Tables to answer this question.

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Answered: NBC News reported on May 2, 2013, that…

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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Similar questions

Mensa requies a test score to be in the top 2%. The test has a mean of 100 and Std. Dev. of 15.and scores are normally distributed. If 4 subjects take the test and they have a mean of 132 but the individual scores are lost, can we conclude that all 4 of them are eligible for Mensa?
A food company is planning to market a new kind of cereal; however before, they want to find the % of people who will like it. They select a random sample of 500 people and ask them to try the cereal. Of 500, 290 people say they like it. Compute the 95% cofidence interval for the % of the pop. that will like the cereal. Interept this cofidence interval.
X is normally distributed with ?=14 and ?= 4. Find the probability that x is between 1 and 18.
A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n = . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who the occupation of firefighter has very great prestige, so f = (0.6096 answer is incorrect.) .
Suppose we played roulette x5 times (where x = 3 is the last digit of your student ID) and each time we bet on the number 17. In each game, xthe probability of winning is 1/37. Calculate the probability P(X = z), where z is the second-to-last digit of your student ID (in this case, z = 5). Draw the probability distribution function graph for the given scenario. Also, calculate the probability of winning less than 5 timesDo this task in R commander.
Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.
The mean percent of childhood asthma prevalence in 43 cities is 2.07%. A random sample of 33 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.4%? Interpret this probability. Assume that o = 1.39%. The probability is (Round to four decimal places as needed.)
The mean percent of childhood asthma prevalence in 43 cities is 2.21%. A random sample of 32 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%? Interpret this probability. Assume that o= = 1.21%. The probability is (Round to four decimal places as needed.)
The mean percent of childhood asthma prevalence in 43 cities is 2.13%. A random sample of 32 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.5%? Interpret this probability. Assume that o = 1.34%. The probability is. (Round to four decimal places as needed.)
If a researcher wanted to know the probability than an individuals's systolic blood pressure would fall above 95 and found that the corresponding z-score is -1.5, what is the probability that a random individuals' systolic blood pressure would fall above 95?

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