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Mashcka [7]
3 years ago
6

The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in

the population does not lie between the two z-scores indicated on the diagram?
z=-1.25
z=0.80
Mathematics
1 answer:
Zepler [3.9K]3 years ago
8 0

Answer:

0.3175

Step-by-step explanation:

z=-1.25 from table is .1056

z=.80 from table is .7881

subtract from each other =.6825

Subtract from the whole is 1-.6825=0.3175

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In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t
Angelina_Jolie [31]

Answer:

P(X = 0) = 0.027

P(X = 1) = 0.189

P(X = 2) = 0.441

P(X = 3)= 0.343

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each x \leq n, the probability mass function is given by:

P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}

In which p is the probability that the event happens.

pe_{n,x}, is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

pe_{n,x} = \frac{n!}{x!}

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so n = 3

The probability that a wafer pass a test is 0.7, so p = 0.7

Determine the probability mass function of the number of wafers from a lot that pass the test.

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P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441

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5 0
4 years ago
a city has a population of 340,000 people suppose each year the population grows by 7% what will rhe population be after 12 year
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So this is going to be an exponential equation, which the format is y=ab^x , in which a is the initial value and b is the growth/decay rate.

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Now replace x with 12 and solve.

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Answer:

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The equation can be solved by multiplying by 36.

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The listed values that make the equation true are 27 and 108/4.

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