the probability P(X≤6) using the central limit theorem?
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X has a binomial distribution with the random variable n=60 and p=0:1. Which of the following is the probability P(X≤6) using the central limit theorem?
27 - |
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Given : n=60 , p=0.1 , q=1-p=1-0.1=0.9
Here , np=60*0.1=6>5 and nq=60*0.9=54>5 , therefore use normal approximation.
Now , mean=μ=np=60*0.1=6 and standard deviation=σ=
Here , we want to find the P(X≤6)
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- 36 - Calculate the variance of X, Var (X) =?, By finding the value a in the table so that the X random variable given the probability distribution table below is the probability distribution.A) 2.93B) 2.85C) 3.10D) 3.25E) 2.71q1410 - The average of the continuous random variable is normally distributed as 40, the standard deviation being 10. So what is the probability of P (30The probability distribution of a random variable x is as shown in the following table: x -2 1 5 6 P(x) 0.16 ? 0.31 0.21 a)Find P(x=1) b)Find the probability that the random variable x is at most 2. c)Find the probability that the random variable x is at least 1. d)Find P(0<x<1) e)Find P(2<x<6)The number X of days in the winter months that a carpenter cannot work because of the weather hasthe probability distribution of:Assume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.0005 5 0.0033 6 0.0155 7 0.0532 8 0.1329 9 0.2362 10 0.2835 11 0.2062 12 0.0687 Find the probability of exactly 7 Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x=7)=P(x=7)= Find the probability of 7 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.P(x≤7)=P(x≤7)= Does 7 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? no yesLet X be a nonnegative random variable (e.g., stock price), and E( X) = 1, then the probability of X = 10, i.e., P(X= 10) cannot be: OA. less than 0.1. OB. greater than 0.1. OC. less than 0.05. OD. none of the above.assume the n trails is independent and that p is the probability of success on a given trail. Use the binomial probability formula to find P(x) n=5, x=3, p=0.3NoneA discrete random variable x has the the following probability distribution X 2 3 4 5 6 P(X=x) 3k2k2 3k2k2 3kk 2kk kk i) Find the value of k? ii) Find P[X>5][3.5<X<6.5]P[X>5][3.5<X<6.5]26 - The random variable Z has a standard normal distribution. Which of the following is the z value such that P(Z<z)=0.1379? a) 1.09 B) -0.05 NS) -2.11 D) -1.09 TO) 2.11
