As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket. the probability that a shopper will buy a packet of crackers after tasting the free sample is 0.200. different shoppers can be regarded as independent trials. if x is the number among the next 100 shoppers who buy a packet of crackers after tasting a free sample, then x has approximately an
n(20, 4) distribution.
n(20, 16) distribution.
n(0.2, 16) distributio

N(20, 4) distribution.

Step-by-step explanation:

Normal approximation to Binomial :

The normal approximation is used for binomial distribution having parameters n and p as

if x is the random variable then x has .

Given : As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket.

The probability that a shopper will buy a packet of crackers after tasting the free sample : p=0.20.

Different shoppers can be regarded as independent trials.

if X is the number among the next 100 shoppers who buy a packet of crackers after tasting a free sample.

Then, Mean and standard deviation for x will be :

i.e. X has approximately an  N(20, 4) distribution.

step-by-step explanation: