Question

In: Statistics and Probability

Let X represent a binomial random variable with n = 360 and p = 0.82. Find the following probabilities.

 

Let X represent a binomial random variable with n = 360 and p = 0.82. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.

 
    Probability
a. P(X ≤ 290)  
b. P(X > 300)  
c. P(295 ≤ X ≤ 305)  
d. P(X = 280) 0.0063

 

Solutions

Expert Solution

a) P(X≤290)=0.2568 (Rounded final answer to 4 decimal places)

b)

c)


Related Solutions

Let X represent a binomial random variable with n = 110 and p = 0.19. Find...
Let X represent a binomial random variable with n = 110 and p = 0.19. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X ≤ 20)    b. P(X = 10) c. P(X > 30) d. P(X ≥ 25)
Let X represent a binomial random variable with n = 180 and p = 0.23. Find...
Let X represent a binomial random variable with n = 180 and p = 0.23. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X less than or equal to 45) b. P(X=35) c. P(X>55) d. P (X greater than or equal to 50)
Let x be a binomial random variable with n=7 and p=0.7. Find the following. P(X =...
Let x be a binomial random variable with n=7 and p=0.7. Find the following. P(X = 4) P(X < 5) P(X ≥ 4)
Let X be a binomial random variable with n = 11 and p = 0.3. Find...
Let X be a binomial random variable with n = 11 and p = 0.3. Find the following values. (Round your answers to three decimal places.) (a)     P(X = 5) (b)     P(X ≥ 5) (c)     P(X > 5) (d)     P(X ≤ 5) (e)     μ = np μ = (f)    σ = npq σ =
1. (Use Computer) Let X represent a binomial random variable with n = 400 and p...
1. (Use Computer) Let X represent a binomial random variable with n = 400 and p = 0.8. Find the following probabilities. (Round your final answers to 4 decimal places.)   Probability   a. P(X ≤ 330)         b. P(X > 340)         c. P(335 ≤ X ≤ 345)         d. P(X = 300)       2. (Use computer) Suppose 38% of recent college graduates plan on pursuing a graduate degree. Twenty three recent college graduates are randomly selected. a. What is the...
(a) Let X be a binomial random variable with parameters (n, p). Let Y be a...
(a) Let X be a binomial random variable with parameters (n, p). Let Y be a binomial random variable with parameters (m, p). What is the pdf of the random variable Z=X+Y? (b) Let X and Y be indpenednet random variables. Let Z=X+Y. What is the moment generating function for Z in terms of those for X and Y? Confirm your answer to the previous problem (a) via moment generating functions.
Let X be a binomial random variable with parameters n = 5 and p = 0.6....
Let X be a binomial random variable with parameters n = 5 and p = 0.6. a) What is P(X ≥ 1)? b) What is the mean of X? c) What is the standard deviation of X? (Show work)
If x is a binomial random​ variable, use the binomial probability table to find the probabilities...
If x is a binomial random​ variable, use the binomial probability table to find the probabilities below. a. P(x<6) for n = 15, p=0.2 b. P(x>=14) for n=20, p=0.8 c. P(x=23) for n=25, p=0.1
If x is a binomial random​ variable, use the binomial probability table to find the probabilities...
If x is a binomial random​ variable, use the binomial probability table to find the probabilities below. a. P(x=3) for n=10, p=0.5 b. P(x≤4) for n=15, p=0.3 c. P(x>1) for n=5, p=0.2 d. P(x<6) for n=15, p=0.8 e. P(x≥14) for n=25, p=0.8 f. P(x=3) for n=20, p=0.1
Let ? be a binomial random variable with ? = 9 and p = 0.4. Find:...
Let ? be a binomial random variable with ? = 9 and p = 0.4. Find: ?(?>6) ?(?≥2) ?(2≤?<5) ?(2<?≤5) ?(?=0) ?(?=7) ?? ?2
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT