Binomial distribution calculationIf n=5 and p=0.5, find P(x=1)Give at least 4 decimal places. Binomial distribution calculationIf n=7 and p=0.6, find P(x=5)Give at least 4 decimal places.

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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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Challenge problem (boundary problem) Take a random sample of size n from the shifted exponential distribution, with pdf: f(z) = e-(=-0) (x > 0) Equivalently: X; ~ 0 + Exp(1) Can you think of some estimators for 0? What is their bias and variance?
CX K Assume that women's heights are normally distributed with a mean given by μ = 62.6 in, and a standard deviation given by a = 2.4 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 63 in. (b) If 42 women are randomly selected, find the probability that they have a mean height less than 63 in. View an example @ 2 F2 W S (a) The probability is approximately. (Round to four decimal places as needed.) X H mand # 3 Ask my instructor 80 F3 E D C $ 4 a F4 R F 07 dº V T G 6 MacBook Air B FO Y H & 7 F7 Ⓒ U N * 8 31 F8 1 M ( 9 K F9 O < I H ) O L F10 P command Clear all . V - ... I F11 { + [ = Check ans ? option 11 Show A F12 }
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ages of a variation than ages of females in the general population, so let o = 18.4 years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 98% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The group of 137 randomly selected adult females have a standard deviation of 18.4 years. Assume that the ages of female statistics students have less The required sample size is. (Round up to the nearest whole number as needed.)
Using the inverse transform method for discrete distribution, define a process for generating random variates from a binomial distribution with N=6 and p=0.4. (sixth decimal place.)
Cumulative probability
Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Standardized Test Composite Scores 28633Score μ=19.7 σ=5.4 28<x<33 x A graph titled "Standardized Test Composite Scores" has a horizontal x-axis labeled "Score" from about 1 to 39 with tick marks at 6, 28, and 33. A normal curve labeled μ = 19.7 σ = 5.4 is centered above the x-axis at 19.7. Two vertical line segments extend from the curve to the x-axis at 28 and 33. The area below the curve and between the two vertical line segments is shaded and labeled 28 < x < 33. The probability that the member selected at random is from the shaded area of the graph is enter your response here. (Round to four decimal places as needed.)
Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.038 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 56 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.068 microgram per cubic meter. At alphaαequals=0.01, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. d) Decide whether to reject or fail to reject the null hypothesis. ▼ Fail to reject Reject Upper H 0H0 because the standardized test statistic ▼ is is not in the rejection region. (e) Interpret the decision in the context of the original claim. There ▼ is not is enough evidence at the nothing% level of significance to ▼ reject support the claim that the mean amount of lead in the air in U.S. cities is ▼ equal greater than or equal less than or equal not equal greater than less than nothing…
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Binomial distribution calculati If n=5 and p=0.5, find P(x=1) Give at least 4 decimal places