SOLUTION: solve using the standard normal distribution as an approximation to the binomial distribution. salesperson s. is successful, that is makes a sale, in an average of 35% of their cal

Algebra.Com
Question 957636: solve using the standard normal distribution as an approximation to the binomial distribution. salesperson s. is successful, that is makes a sale, in an average of 35% of their calls. to win a special award, s. must average 50% sales for the next week. if they make 50 calls next week, what is the probability that they will make fewer than 25 sales and fail to win the award? draw a picture to start out with!!
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve using the standard normal distribution as an approximation to the binomial distribution. salesperson s. is successful, that is makes a sale, in an average of 35% of their calls. to win a special award, s. must average 50% sales for the next week. if they make 50 calls next week, what is the probability that they will make fewer than 25 sales and fail to win the award? draw a picture to start out with!!
-----
u = np = 50*0.35 = 17.5
s = sqrt(17.5*0.65) = 3.3726
------------------
z(24.5) = (24.5-17.5)/3.3726) = 2.0755
P(x < 25) = P(z < 2.0755) = normalcdf(-100,2.0755) = 0.9810
------------
Cheers,
Stan H.
---------------

RELATED QUESTIONS

Why can the normal distribution be used as an approximation to the binomial... (answered by stanbon)
Answer the following questions regarding the normal, standard normal and binomial... (answered by stanbon)
estimate the indicated probability by using the normal distribution as an approximation... (answered by stanbon)
b. Estimate the probability P(at lease 5) by using the normal distribution as an... (answered by stanbon)
For the binomial distribution with given values for n and p, state whether or not it is... (answered by stanbon)
For a binomial probability distribution, n = 25 and p = 0.40. Find the probability... (answered by lynnlo)
assuming that all conditions are met to approximate a binomial probability distribution... (answered by stanbon)
If np ≥ 5 and nq ≥ 5, estimate P(more than 9) with n =14 and p=0.7 by using... (answered by jim_thompson5910)
If np is greater than or equal to 5 and nq is greater than or equal to 5 estimate P (more (answered by stanbon)