To get the required value of the missing probability to make the series complete is to deduct all the probability given to 1 because we know that the discrete probability distribution must be equal to 1. So doing what I have said, this will be:

P(4) = 1 - P(3) - P(5) - P(6)

= 1 – 0.3 – 0.18 – 0.21

<span>= 0.31 is the answer.</span>

3 0

3 years ago

n automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally di

Paraphin [41]

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that $\mu = 116, \sigma = 5.4$

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

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

$Z = \frac{118 - 116}{5.4}$

$Z = 0.37$

$Z = 0.37$ has a pvalue of 0.6443

1 - 0.6443 = 0.3557

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

8 0

3 years ago

Everyday on his way to his part time job, Landon stops by Starbucks for a Caramel Frappuccino and a cake pop. He gets another cu

il63 [147K]

Answer:

If a week is 7 days then a Caramel Frappuccino cost 2 dollars (unrounded cost 1.99285714)

Step-by-step explanation:

6 0

3 years ago

What is the y-intercept and x-intercept for the equation -3x - 4 = -5y - 8

BARSIC [14]

Step-by-step explanation:

=> -3x - 4 = -5y - 8

=> 8 - 4 = 3x - 5y

=> 4 = 3x + (-5)y

=> 1 = (3x/4) + (-5y/4)

=> 1 = x/(4/3) + y/(-4/5)

Compare this with x/a + y/b = 1 where a and b are x & y intercepts.

Here,

x intercept = 4/3

y intercept = -4/5

6 0

3 years ago