Suppose that we want to use the normal approximation to the binomial distribution to determine b(1; 150, 0.05).  (a) Based on the rule of thumb on page 192 (A good rule of thumb is to use this approximation only when nθ and n(1 − θ) are both greater than 5), would we be justified in using the

Q: If np ≥ 5 and nq ≥ 5, estimate P(more than 9) with n =13 and p=0.6 by using the normal distribution…

A: Normal approximation to the binomial: From the given information, it is clear that sample size, n =…

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the…

A: Given,  X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. We have to find…

Q: If no is greater than or equal to 5, estimate P(fewer than 5) with n=14 and P=0.5 by using the…

A:

Q: if np greater than or equals 5 and nq greater than or equals 5, estimate Upper P left parenthesis…

A: Given: n = 14, p = 0.4, q = (1 – p) = 1 – 0.4 = 0.6 Following conditions must be satisfied to use…

Q: If np > 5 and nq > 5 estimate P(more than 4) with n = 13 and p = 0.5 by using the normal…

A: It is given that the value of n is 13 and p is 0.5. Conditions: np > 5 nq > 5. Checking…

Q: Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

A:

Q: 2. Suppose that X has a hypergeometric distribution with N= 2,000, K= 800, and n= 200. Find the…

A: Solution is given below

Q: 8. Show that the m.g.f. about the mean for a Poisson variate is exp {m (e-t-1). Obtain from this the…

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Q: Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is…

A: Let us denote X=density of a randomly selected specimen. Given that X follows a normal distribution…

Q: If np ≥ 5 and nq ≥​ 5, estimate P(more than 8) with n=12 and p=0.7 by using the normal distribution…

A: From the provided information, Sample size (n) = 12 Probability (p) = 0.7

Q: The Bureau of Labor Statistics reported that 16% of U.S. non-farm workers a government employees. A…

A: Here, n = 65 and p = 0.16.

Q: Consider the Parcto distribution with Cumulative distribution func- tion: (G)". F(X) = 1 Compute its…

A: variance = 3

Q: (i) Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

A: Given that n= 500 , p=0.025 Here, we need to use normal approximation to a Binomial Distribution (X)…

Q: If np(is greater than or equal to)5, estimate P(fewer than 5) with n=13 and p=0.4 by using the…

A:

Q: Suppose that one in six smartphone users have fallen prey to cyber-attack. We use a sample of 224…

A:

Q: You wish to test the following claim (Ha) at a significance level of  X=0.001…

A:

Q: If np≥5 and nq≥5​, estimate P(fewer than 5) with n=13 and p=0.6 by using the normal distribution as…

A: np= 13×0.6=7.8>5 nq=13×0.4=5.2>5 We use normal approximation to calculate probability.

Q: Which of the following is/are FALSE about the central limit theorem?  A. The CLT says that as the…

A: The central limit theorem states that for a sufficiently large sample size, the sampling…

Q: (i) Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

A: Given data: Sample size (n)  =500 Probability (p) = 0.025 Here we have to use; normal approximation…

Q: Suppose that we want to use the normal approxi-mation to the binomial distribution to determine b(1;…

A:

Q: Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is…

A:

Q: A manufacturer makes thousands of ballpoint pens per day, and estimates that 3% are defective and…

A: We have to test the normality condition for proportion.

Q: If np is greater than or equal to 5 and nq is greater than or equal to 5, estimate P(fewer than 4)…

A:

Q: The rule of thumb for using the normal approximation to the binomial is that both np and n(1 − p)…

A: Binomial approximation: The normal distribution can be used as an approximation to the binomial…

Q: ou wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…

A:

Q: 1a) A sample of size 39 will be drawn from a population with mean 23 and standard deviation 10. Find…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: The waiting time for the tenth customer to arrive to arrive at a pharmacy in a certain medical…

A:

Q: If np≥5 and nq≥​5, estimate P(more than 6) with n=13 and p=0.3 by using the normal distribution…

A:

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the…

A:

Q: 2. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n= 200. Find the…

A: X has a hypergeometric distribution N=2000 K=800 n=200 P(X<=70)=? For hypergeometric and normal…

Q: Suppose random samples of n = 47 are collected from an unknown distribution with the properties u =…

A: Givenn=47μ=50σ=4∑x~N(n*μ , n*σ)

Q: 2. Suppose that X has a hypergeometric distribution with N= 2,000, K = 800, and n= 200. Find the…

A: Hyper geometric distribution : The hypergeometric distribution may be a separate likelihood…

Q: Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is…

A: a) Xi=sediment densityg/cm3Xi~Nα=2.65,δ=0.85 It is proposed that, E(X_)=2.65…

Q: If np > 5 and nq > 5, estimate P(more than 5) with n = 14 and p = 0.7 by using the normal…

A: Given: n = 0.14 and p = 0.7

Q: If np≥5 and nq≥5​, estimate P(fewer than 2) with n=13 and p=0.4 by using the normal distribution as…

A: Obtain the probability that X is fewer than 2. The probability that X is fewer than 2 is obtained…

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K= 800, and n= 200. Find the…

A:

Q: Suppose that X follows a binomial distribution with n = 100 and p = 0.1. If F(x) is the cumulative…

A: Since n = 100 is large X can be approximated to normal distribution with parameters.

Q: et X1, X2, ..., Xn be a random sample from a normal distribution with mean u and Fariance o?. ind an…

A: Solution

Q: Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds.…

A:

Q: 1. Suppose that X is a binomial random variable with n = 200 and p = 0.4. Find the probability R(X<…

A:

Q: If np≥5 and nq≥5, estimate P (fewer than 6) with n=14 and p=0.5 by using the normal distribution as…

A: Solution: From the given information, n=14 and p=0.5. Here,

Q: If np > 5 and nq > 5, estimate P(fewer than 2) with n = 13 and p = 0.4 by using the normal…

A: Given, n=13 and p=0.4 Therefore, Therefore, normal distribution as an approximation to the binomial…

Q: If np is greater than or equal to 5 and nq is greater than or equal to 5, estimate P(at least 7) n…

A: Given,          n=13          P=0.6    and q=1-p           q=1-0.6=0.4       nP=13×0.6=7.8⩾5…

Q: f np≥5 and nq≥​5, estimate P(more than 8) with n=14 and p=0.7 by using the normal distribution…

A: Given n=14 and p=0.7

Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…

A:

Q: Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population…

A: In question, Given that in a local kindergarten through 12th grade school district 49% population…

Q: If np is greater than 5 and nq is greater than 5, estimate P(at least 6) with n=13 and p=0.6 by…

A: Given information- p = 0.6 n = 13   So, np = 13 × 0.6 = 7.8 Which is greater than 5. And, nq = 13 ×…