Question

In: Statistics and Probability

p=0.63 and n=80 p(x>48)

Expert Solution

Solution :

Given that,

p = 0.63

q = 1 - p = 1 - 0.63 = 0.37

n = 80

Using binomial distribution,

= n * p = 80 * 0.63 = 50.4

= n * p * q = 80 * 0.63 * 0.37 = 4.32

Using continuity correction ,

P(x > 48) = 1 - P(x < 48 )

= 1 - P((x - ) / < (48 - 50.4) / 4.32)

= 1 - P(z < -0.56 )

= 1 - 0.2877

= 0.7123

orchestra answered 2 years ago

Let X Geom(p). For positive integers n, k define P(X = n + k | X...

Let X Geom(p). For positive integers n, k define P(X = n + k | X > n) = P(X = n + k) / P(X > n) : Show that P(X = n + k | X > n) = P(X = k) and then briefly argue, in words, why this is true for geometric random variables.

x~N(55,36). find p(x>72) and p(50<=x<=68)

If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x≤5),n=9,p=0.7P(x≤5),n=9,p=0.7...

If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x≤5),n=9,p=0.7P(x≤5),n=9,p=0.7 (b) P(x>1),n=9,p=0.1P(x>1),n=9,p=0.1 (c) P(x<3),n=5,p=0.6P(x<3),n=5,p=0.6 (d) P(x≥1),n=6,p=0.9P(x≥1),n=6,p=0.9

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=80, p=0.4

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=80, p=0.4 The mean, μ, is _______ (Round to the nearest tenth as needed.) The variance, σ2, is _______ (Round to the nearest tenth as needed.) The standard deviation, σ, is _______ (Round to the nearest tenth as needed.)

n = 5 p or π = 0.15 P(X<2) =

For the given confidence level and values of x and n, find the following.x=48, n=97, confidence...

For the given confidence level and values of x and n, find the following.x=48, n=97, confidence level 99% The point estimate for the given data is .4948. The standard error for the given data is .0502. (c) Find the margin of error. Round the answers to at least four decimal places, if necessary.

Considerapopulationwhoseprobabilitiesaregivenby p(1)=p(2)=p(3)= 1 3 (a) DetermineE[X]. (b) DetermineSD(X). σ2σ n =√n SD(X)= In the preceding formula,...

Considerapopulationwhoseprobabilitiesaregivenby p(1)=p(2)=p(3)= 1 3 (a) DetermineE[X]. (b) DetermineSD(X). σ2σ n =√n SD(X)= In the preceding formula, σ is the population standard deviation, and n is the (c) Let X denote the sample mean of a sample of size 2 from this population. Determine the possible values of X along with their probabilities. (d) Usetheresultofpart(c)tocomputeE[X]andSD(X). (e) Areyouranswersconsistent?

Use mathematical induction to prove that If p(x) in F[x] and deg p(x) = n, show...

Use mathematical induction to prove that If p(x) in F[x] and deg p(x) = n, show that the splitting field for p(x) over F has degree at most n!.

9. Let X ~ N(194; 24). Find: (a) P(X <= 218) (b) P(145 < X <...

9. Let X ~ N(194; 24). Find: (a) P(X <= 218) (b) P(145 < X < 213) (c) The first quartile for X (d) The third quartile for X (e) the IQR for X (f) P(|X-194|> 41) 10. A soft drink machine discharges an average of 345 ml per cup. The amount of drink is normally distributed with standard deviation of 30 ml. What fraction of cups will contain more than 376 ml? (Keep 4 decimals)

Let X ~ N(190; 23). Find: (a) P(X <= 213) (b) P(148 < X < 202)...

Let X ~ N(190; 23). Find: (a) P(X <= 213) (b) P(148 < X < 202) (c) The first quartile for X (d) The third quartile for X (e) the IQR for X (f) P(|X-190|> 34