When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: randomly select and test 49 batteries and determine whether each is within specifications. the entire shipment is accepted if at most 3 batteries do not meet specifications. a shipment contains 6000 batteries, and 1% of them do not meet specifications. what is the probability that this whole shipment will be accepted? will almost all such shipments be accepted, or will many be rejected?

Step-by-step explanation:

Given that A shipment contains 6000 batteries, and 1% of them do not meet specifications.

Sample size =49

If x is the number of batteries not meeting specifications then

x is binomial with n =49 and p = 0.01

Because i) each toy is independent of the other

ii) There are only two outcomes

Probability whole shipment is accepted = Prob (X≤3)

=0.9885

Hence almost all shipments would be accepted.

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}

3

step-by-step explanation: