What is the value of the expression when a = 4? 2a^3

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

atroni [7]

Answer:

The probability that this whole shipment will be accepted is 0.8382. Almost all such shipments be accepted as the probability of accepting is higher.

Step-by-step explanation:

Consider the provided information.

The probability for accepting the whole batch if there is only one or none that doesn't meet the required specifications.

Aspirin tablets actually has a 2% rate of defects. Thus, the rate of aspirin tablets are not defected 98%.

Which can be written as:

P(x=0 or x=1)

P(no defects out of 36)= $^{36}c_0 \times (0.02)^0 \times (0.98)^{36}$

P(no defects out of 36)= $0.483213128206$

P(one defects out of 36)= $^{36}c_1 \times (0.02)^1 \times (0.98)^{35}$

P(one defects out of 36)= $36 \times 0.02 \times (0.49307)$

P(one defects out of 36)= $0.3550104$

The probability that the whole shipment will accepted is the sum of the individual probabilities which is:

0.4832+0.3550=0.8382

Hence, the probability that this whole shipment will be accepted is 0.8382. Almost all such shipments be accepted as the probability of accepting is higher.

4 0

3 years ago

All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hou

beks73 [17]

Answer:

All the members of a construction crew work at the same pace. Four of them working together are able to pour concrete foundations in 32 hours.

Step-by-step explanation:

8 0

3 years ago

An article reported that in a large study carried out in the state of New York, approximately 60% of the study subjects lived wi

DerKrebs [107]

Answer:

95.86%.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 0.6, \sigma = \sqrt{\frac{p(1-p)}{n}} = 0.0245$