statistics
posted by Vanessa .
Assume a binomial probability distribution has p = .60 and n = 200.
a)What are the mean and standard deviation (to 2 decimals)?
b)Why can the normal probability distribution be used to approximate this binomial distribution?
c)What is the probability of 100 to 110 successes (to 4 decimals)?
d)What is the probability of 130 or more successes (to 4 decimals)?
e)What is the advantage of using the normal probability distribution to approximate the binomial probabilities?

a. mean = np = 200(.6) =120
Standard deviation = sqrt((.6*.4*200))= sqrt(48)
Respond to this Question
Similar Questions

Statistics
Suppose that the probability distribution of a random variable x can be described by the formula P(x) = x/15 For each of the values x = 1, 2, 3, 4, and 5. For examples, then, p(x=2) = p(2) = 2/15 a Write out the probability distribution … 
Statistics
If the probability of a newborn child being female is 0.5, find the probability that in 100 births, 55 or more will be female. Use the normal distribution to approximate the binomial distribution. 
STATISTICS
(a) With n=12 and p =0.4 find the binomial probability that p(9) by using a binomial probability table. (b) np ¡Ý5, nq¡Ü5, also estimate the indicated probability by using the normal distribution as an approximation to the binomial, … 
Statistics
Assume it is known that the probability of birth is equal in all months. What is the probability that in the STAT class of 120 students, exactly 20 students have their birthdays in either August or September? 
statistics
Assume a binomial probability distribution has p = .60 and n = 200. c. What is the probability of 100 to 110 successes (to 4 decimals)? 
statistics; emergency please help me
Assume a binomial probability distribution has p = .60 and n = 200. c. What is the probability of 100 to 110 successes (to 4 decimals)? 
statistics; emergency please help me
Assume a binomial probability distribution has p = .60 and n = 200. a. What is the probability of 100 to 110 successes (to 4 decimals)? 
statistics
can you explain this to me please? Consider the binomial distribution where n = 11 and p = 0.05. Find the mean and standard deviation of this binomial distribution. 
Statistics
The probability distribution of number of calls coming to a call center every 15 minute period is shown below. x 5 6 7 8 9 10 11 12 13 p ( x ) 0.02 0.04 0.07 0.08 0.09 0.11 0.12 0.13 0.10 Continued… x 14 15 16 17 18 19 20 p ( x ) … 
binomial distribution
Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some form of technology to find the probability distribution given the probability p=0.687 of success on a single trial.