A pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome). In the first sta

Answer:

E 240

Step-by-step explanation:

Mean of the geometric distribution = (1- p) / p

16 = (1 - p) / p

16p = 1 - p;  17p = 1; thus, p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280, which is closest to 240

The entire sequence is: 88511, 16351, 73155, 10251

Solution:

The sequence provided is:

88511, 16351,?, 10251

Utilizing basic mathematical operations (+, -, ×, /) allows us to determine the missing number.

Let’s break down the logic behind this sequence

Examining the initial term of the series 88511

8 + 8 = 16

8 - 5 = 3

1 / 1 = 1

Merging these digits results in 16351, which is the second term in the series

Therefore, the underlying method is:

Add the first two digits in 8851

Subtract the third digit from the second digit

Multiply the third and fourth digits

Divide the fourth digit by the fifth digit

Following the same pattern allows us to identify the missing term

Next, consider the second term 16351 in the series

1 + 6 = 7

6 - 3 = 3

5 / 1 = 5

By combining these digits, we arrive at 73155, which follows as the next term in the series

Therefore, the missing term in the series is 73155

The complete series is: 88511, 16351, 73155, 10251

Answer:

0.8753

Step-by-step explanation:

Determine the likelihood that your job will complete before 10:01 am.

In this scenario, the expected value of an Exponential distribution is E(X)=12.

To find the probability for the third job, we apply the Poisson Distribution with a parameter of 1/λ.

This gives us E(Y) =1/12.

Since the third job is expected to be ready by 10:01 AM, we have E(Y)=61/12.

Hence, the probability sought is

=1- POISSON(3,5,true)

=1-0.1246

=0.8753