Find the indicated probability for a binomial random variable X. Round your answer to three decimal places, e.g. 0.628. P(X > 8) when the number of trials (n) is 10 and the probability of success (p) is 0.5.

Q: Only typed answer the average age of a women filing for social security in 2010 was 62.8 years,…

A: Given: mean μ=62.8 standard deviation σ=1.6 To Find P(X>65)

Q: The gender of 4 unborn children is to be determined in a lab today. What is the probability that…

A: We have given that n=4, p=1/2=0.5 X~Binomial(n=4, p=0.5) X be the number of girls. p be the…

Q: You may need to use the appropriate table ((Standard Normal Table)) to answer this question. The…

A: Given that : Mean =80 Minutes standard deviation =10 Minutes

Q: uestion 1 . A man and his wife have 6 children.  If having a female or a male child is equally…

A: As per our guidelines we are suppose to answer only one question kindlypost the remaining question…

Q: If you look at 50 babies being born, is it unusually high to get 40 boys? Yes/No No because the…

A: Give that There are total 50 babies being born

Q: Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = 0, the…

A: Here the given information is Two airplanes are flying in the same direction in adjacent parallel…

Q: his two-way table to answer the questions. Leave answers rounded to the nearest percent.   Income 1…

A: Given table.   Income 1 Income 2 Income3 Total state 1 200 580 850 1630 state2 350 610 880…

Q: _0 9.5 0 1920 Incarcerated Americans 1920-2014 1980 1940 1950 1930 Prison Jail 2010 6. Describe the…

A: A graph is the pictorial representation of the data set. Which tells what pattern data is following.…

Q: Of the 45 students enrolled in a statistics class last semester, 21 received a high grade and 24…

A: In this problem, we are given information about a statistics class where 45 students were enrolled…

Q: Z is distributed as a standard normal variable. Use Excel to find Pr(Z < -0.51). Enter your answer…

A: Answer:- Given, Z is distributed as a standard normal variable.  Using formula  Excel formula,…

Q: The center of a normal curve is the mean of the distribution. O is the standard deviation. O cannot…

A: Answer  The center of a normal curve is the mean of the distribution. It is a bell-shaped curve.…

Q: In an election, there are 3 candidates for governor, 4 candidates for senator, and 5 candidates for…

A: 3 candidates for governor 4 candidates for senator 5 candidates for representative…

Q: 2. Suppose that A, B, C are mutually independent events in the sample space of some random…

A: 2) Given that A, B, C are mutually independent events in the sample space of some random experiment,…

Q: Data provided by the National Association of College Employers indicated that the average starting…

A: given data n = 48x¯ =38100s = 5200α = 0.05claim : μ &gt;37000

Q: Given a probability of .02 that a given car will not start on a cold morning, and assuming that…

A: Givenprobability that a car will not start in cold(p)=0.02sample size(n)=1500Let "x" be the no.of…

Q: Let X₁,..., Xn be a random sample from a geometric distribution, X~ GEO(p). Here, P [X = x] = p(1 −…

A: Let X1, X2, . . . . , Xn be the random sample from a geometric distribution with pmf written as,…

Q: Let X₁,..., Xn be a random sample from a geometric distribution, X~ GEO(p). Here, -1 P[X = x] = p(1…

A: We know that, variance of any random bait is given by,  Var(X)= (1/n) Σi=1n (Xi- x̄)2

Q: I Example 7 A manufacturer finds that 10% of articles made in his factory are defective. If he takes…

A: given data  P(defective) = p = 0.10 take n = 3 articles at random P(more defective than non…

Q: The number of automobile sold weekly at a certain dealership is a random variable with expected…

A: Answer:- Given , A random variable with expected value, E(X) = 16.  Using formula,  Expected value,…

Q: Tia notices that yogurt is on sale at a local grocery store. The last eight times that yogurt was on…

A: Given that Total number of times =8 And it was available only 3 times.  Not available =5

Q: A random variable X is defined as the number of heads observed when a coin is tossed 4 times. The…

A: Let random variable X is defined as the number of heads observed when a coin is tossed 4 times.  The…

Q: Exercise 7 In a large corporation, people over age thirty have an annual income whose distribution…

A:

Q: A random variable X has a p.d.f. f(x) given by S(x) = {^e²) x>0 otherwise ke-3x a. Find the constant…

A: Given,f(x)={ke-3x; x&gt;00; otherwise

Q: 13. For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343…

A: Given  data :  For how many three digit numbers (100 to 999)is the sum of the digits even? (For…

Q: In a hand of 13 cards chosen at random from an ordinary deck of 52 cards, let X be the number of…

A: From the provided information, Total cards in standard deck = 52 13 of them are spades. X be the…

Q: Gears produced by a grinding process are categorized either as conforming (suitable for intended…

A: Introduction: It is given that 80% or 0.8 proportion of gears produced are conforming, 15% or 0.15…

Q: The response time to a particular editing command is normally distributed with a standard deviation…

A: given data, normal distributionσ=25CI=0.95α=1-0.95=0.052E≥10E=10/2=5n=?

Q: You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt a nine…

A: The number of cards in a deck of cards is 52.

Q: A random sample of 100 people who suffer from migraines are split into two groups of 50. The first…

A: Given that, a random sample of 100 people who suffer from migraines are split into two groups of 50.…

Q: If X ~ Bin(12,0.7) then calculate:  P ( X= 9) P ( X> 10)  P ( X£ 11)

A: Let X be the random variable from binomial distribution with probability (p) = 0.7 and sample size…

Q: If we repeat the experiment 100 times and each time we collect a random sample of size n from the…

A: Assuming that the sampling distribution of the mean is normal and the sample size is sufficiently…

Q: Let the following numbers represent the order statistics ₁, 2, ,927 of the n 27 observations…

A: iv) 95% confidence interval for π0.8 based on the given sample is, Arrange the data in ascending…

Q: Let A and B be events in a sample space with positive probability. Prove that P(B|A) > P(B) if and…

A:

Q: The distance between two subsequent rust attacks is exponentially distributed with parameter λ (the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Consider babies born in the normal range of 37-43 weeks gestational age. The birth weight is…

A: From given data we have : μ=3432,σ=482

Q: Consider the discrete random variable x with probability distribution p(x). Denote the mean and…

A:

Q: random. Find the probability that you are served a vegetable second given that you were served a…

A: Here given, A school lunch offers three different fruits and two different vegetables as side…

Q: Compute the probability of successfully completing the task for an engineer having 24 months of…

A: Given the data of monthly experience of the task is a success or not for 2 engineers as shown below…

Q: A company manufactures refrigerator motors. These engines have an expected lifetime of 19.4 years…

A: Given information: μ=19.4σ=4.8 Let X be the lifetimes of the lifetimes follows normal distribution…

Q: The general structure of CI : point estimate ± error Suppose we derive 95% CI. 1-a = 0.95 ⇒a= Zą…

A: We have given that Confidence level (c) = 95% = 0.95 α = 0.05 Significance level (α) = 1- 0.95 =…

Q: (1) A pair of fair dice is rolled 24 times. What is the probability of getting at least one double…

A: It can be done using another approach,

Q: a. The Probaility of event A happening is P(A)-0.5. The probability of event B happening is…

A: GivenP(A)=0.5P(B)=0.4 Events A and B are mutually exclusive

Q: (P1) P(22) = 1 (P2) If A and B are disjoint subsets of 2, then P(A U B) = P(A) + P(B). (P3) If A₁,…

A:

Q: Among the seniors at a small high school of 150 total students, 80 take Math, 41 take Spanish, and…

A: Given that : Among the seniors at a small high school of 150 total students, 80 take Math, 41 take…

Q: Let X₁, X₂ be independent and identically distributed random variables following a geometric…

A: Given that X1, X2 be independent and identically distributed random variables following a geometric…

Q: A hotel asked its customers to rate their stays as Excellent, Good, Fair, or Poor. The accompanying…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk…

A: Answer:- Given , Population size , N = 1236  Probability of success, p = 12% = 0.12   Sample size, n…

Q: Suppose that you and your sibling are fighting over who will wash the dishes. You came up with a bet…

A:

Q: The deflection temperature under load for two different types of plastic pipe is being investigated.…

A: Claim: The defection temperature under load for type 1 pipe exceeds that of type 2 at 5% level of…

Q: n a certain country, the heights of adult males have a mean 170cm and standard deviation of 10cm,…

A: From given data we have : Husband μ1=170,σ1=10wife  μ2=160,σ2=8