NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 25 children and let X be the number in the sample who have a food allergy. Then X~ Bin(25, 0.05). (Round yourprobabilities to three decimal places.)USE SALT(a) Determine both P(X ≤ 2) and P(X < 2).P(X ≤ 2) =P(X < 2) =(b) Determine P(X ≥ 3).P(X ≥ 3) =(c) Determine P(1 ≤ x ≤ 2).P(1 ≤ x ≤ 2) =(d) What are E(X) and ox? (Round your answers to two decimal places.)E(X) =0x =(e) In a sample of 80 children, what is the probability that none has a food allergy?

Since you submitted the question with more than 3 subparts we only answer up to 3 sub-parts, i.e.,…

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...

See similar textbooks

Similar questions

A sample of 400 adults found that 82 have high blood pressure. However, 98 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
A recent survey showed that 94 adults out of a sample of 500 have high blood pressure. However, 108 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
In a sample of 900 U.S. adults, 210 think that most celebrities are good role models. U.S. adults are selected from this sample without replacement. Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is enter your response here. (Round to three decimal places as needed.)
Dandelions have effects on crop production and lawn growth and are studied. In one region, the mean number of dandelions per square meter was found to be 10.8.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)= Find the probability of at least one dandelion in an area of 1 m².P(at least one) = Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=P(X≤2)=
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.) .
There are 100 multiple-choice question on exam, each having responses a, b, c, d. suppose that a student has 75% chance to answer each qustion correctly and all the answers are independent. if the student needs to answer at least 40 questions to pass, what is the probability that the student passes? Use normal approximation.
Prob and stat
The table summarizes results from pedestrian deaths that were caused by automobile accidents. DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 48 68 No 280 579 If one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated. (Please enter a decimal, and round your answer to 4 decimal places.)Probability =
A certain type of cancer is known to exist in 2 percent of the population of the males in their fifties. A test for the disease has been is advertised by a pharmaceutical company to have sensitivity 0.97 and specificity 0.95. A male is randomly selected from this population, and tested. The test result is negative. First determine the probability this male has the cancer.
The acceptable level for insect filth in a certain food item is 2 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x=2.3 insect fragments per ten-gram portion. What is the probability a simple random sample of 40 ten-gram portions of the food item results in a mean of at least 2.3 P(x≥2.3)= (Round to four decimal places as needed.)
From the past experience, 30% of the stocks are profitable. What is the probability that 5 of the 7 stocks are profitable? Find the mean and standard deviation of the random variable X, where X is the number of profitable stocks out of 7.
Suppose that the probability that a patient admitted in a hospital is diagnosedwith a certain type of cancer is 0.03. Suppose that on a given day 10 patients areadmitted and X denotes the number of patients diagnosed with this type of cancer.Determine the probability distribution of the random variable X. Find the meanand the variance of X

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS