**Text Transcription for Educational Website**According to one poll, 54% of households in a certain region had no landline and only had cell phone service. Suppose a random sample of 50 households from the region is taken. Complete parts (a).---a. Find the probability that exactly 25 of the households sampled only have cell phone service.The probability that exactly 25 only have cell phone service is [ ].(Type an integer or a decimal. Round to three decimal places as needed.)**Note:** The problem involves using the binomial probability formula to calculate the probability of exactly 25 successes (households with only cell phone service) in a sample of 50, given the probability of success (p = 0.54).

The following information has been provided: The probability of success is p=0.54. The probability…

Answered: According to one poll, 54% of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to a health publication, 16.5% of persons under the age of 65 have no health insurance coverage. Suppose that four persons under the age of 65 are randomly selected. a. Determine the probability distribution for the number, X, who have no health insurance coverage. b. Determine and interpret the mean of X.
The histogram below gives the length of service of members of the Department of English at a particular university. The classes, in years of service, are 0−−4.9, 5−−9.9, etc., and the vertical axis represents the number of faculty. 1) What percent of the department faculty have less than 15 years of service? 2) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 5 and 45 years of service? 3) What is the probability the representative above will have less than 20 years of service given that the person has less than 25 years of service?
The following table represents undergraduate students at a local university. One student is chosen at random. Give your answer as a decimal out to at least 4 places. Freshman Sophomore Junior Senior Total Live On Campus 2294 2188 1724 1888 8094 Live Off Campus 3831 4286 4925 822 13864 Total 6125 6474 6649 2710 21958 a) Find the probability that the student lives off campus or is a junior. b) Find the probability that the student lives on campus and is a senior. c) Find the probability that the student is a freshman given that they live on campus. d) Are the events Freshman and Live on Campus mutually exclusive? Why? Yes, since the P(Freshman | Live On Campus) = P(Freshman) Yes, since P(Freshman ∩∩ Live On Campus) = 0.1045 ≠ 0 No, since P(Freshman ∩∩ Live On Campus) = 0.1045 ≠ 0 Yes, since you can be a freshman that lives on campus No, since P(Freshman ∩∩ Live On Campus) = 0.1045 ≠ P(Freshman)*P(Live On Campus) = 0.1028 Yes, since P(Freshman ∩∩ Live On Campus) =…
A test was given to a group of students. The grades and gender are summarized below C Total A Male 6 Female 18 14 10 Total 24 19 21 8549 5 11 22 42 64 If one student is chosen at random from those who took the test, Find the probability that the student was male GIVEN they got an 'A'.
Q1: Fourteen concrete columns had been poured and the length of the columns were (in cm): 99, 98, 96, 92, 89, 112, 107, 106, 104, 102, 101, 99, 101, 94 a. Find frequency table. b. Draw histogram and polygon. Draw cumulative frequency. d. Find the probability of a column length less than 98.5 cm. e. Find the probability of a column length equal to 93 cm. с.
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 1 girl in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? *** O A. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. OB. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. OC. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the…
600 baseball fans in Boston are asked whether they hate the Yankees. 564 of them answered "yes". The empirical probability that a randomly chosen fan will answer "yes" is The empirical probability that a randomly chosen fan will answer "no" is (Note: Enter each answer as a fraction or as a decimal rounded to the nearest hundredth.)
b. A survey of teenagers showed that 75% of them spend their pocket money on clothing. Find the probability that among the 6 teenagers selected at random, at most 2 spend their pocket money on clothing.
67% of LaGuardia students are female. A random sample of 6 students is to be selected. Let the random variable X be the number of female students in a sample. a. What is the probability that out of 6 randomly selected students at most 2 are male? b. Find the average number of female students per sample if a large number of random samples of 20 students were selected.

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