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Anastaziya [24]
2 years ago
9

Draw a vertical line through a normal distribution for

Mathematics
1 answer:
m_a_m_a [10]2 years ago
8 0

The proportion in the tail with regards to the z scores will be:

  • z = 1.00 = 0.1587
  • z = 0.50 = 0.3085
  • z = -1.25 = 0.1056
  • z = -0.40 = 0.3446

<h3>How to calculate the values?</h3>

a. z= 1.00

P(z > 1.00) = 1 - P(Z < 1.00)

= 1 - 0.8413

= 0.1587

The tail will be on the right side.

The proportion of the tail will be 0.1587.

b. z = 0.50

P(z > 0.50) = 1 - P(Z < 0.50)

= 1 - 0.6915

= 0.3085

The tail will be on the right side.

The proportion of the tail will be 0.3085

c. z= -1.25

P(z < -1.25)

= 0.1056

The tail will be on the left side.

The proportion of the tail will be 0.1056.

d. z= -0.40

P(z < -0.40)

= 0.3446

The tail will be on the left side.

The proportion of the tail will be 0.3446.

Learn more about z scores on:

brainly.com/question/25638875

#SPJ1

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---- x ----
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Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
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Answer:

a) 0.32 = 32% probability that your bid will be accepted

b) 0.72 = 72% probability that your bid will be accepted

c) An amount in excess of $15,400.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

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a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

You will win if the competitor bids less than 12000. So

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0.32 = 32% probability that your bid will be accepted

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

You will win if the competitor bids less than 14000. So

P(X \leq 14000) = \frac{14000 - 10400}{15400 - 10400} = 0.72

0.72 = 72% probability that your bid will be accepted

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How did the temperature change if :
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===================================================

Explanation:

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Think of it like saying 100% + 5% = 1 + 0.05 = 1.05

Similarly, an increase of 20% means we involve 1.20

Combine those multipliers to get: 1.05*1.20 = 1.26

This is a net increase of 26%

Interestingly, we get fairly close to 25% which is what many students might go for (since 5 + 20 = 25). This is a beginner's trap.

----------------

An example:

Let's say the temperature is 20 degrees Celsius (68 degrees Fahrenheit)

An increase of 5% means it moves to 1.05*20 = 21 degrees C

A 20% increase means we go to 1.20*21 = 25.2 degrees C

The shortcut would be to do a 26% increase to get 1.26*20 = 25.2 to help confirm we have the correct combined increase.

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