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oee [108]
3 years ago
7

What proportion of a normal distribution is located between z = 1.00 and z = 1.50?

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

0.092 is the required proportion.

Step-by-step explanation:

We are given the following in the question:

A normal distribution.

We have to find the proportion of data lying between z = 1.00 and z = 1.50.

P(between z = 1.00 and z = 1.50)

P(.001 \leq z \leq 1.50)\\= P(z \leq 1.50) - P(z < 1.00)\\= 0.933 - 0.841 = 0.092 = 9.2\%

Thus, 0.092 is the proportion of data located between z = 1.00 and z = 1.50.

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Answer:

The required prove is shown below.

Step-by-step explanation:

Consider the provided statement.

The required figure is shown below:

 Statement                                             Reasons

PQ ≅ TQ; UQ ≅ QS                               Given

PQ = TQ, UQ = QS                     Definition of Congruence

PQ + QS = PS; TQ+QU = TU    Segment Addition Postulate

TQ + QS = PS                            Substitution  (PQ = TQ)

TQ + QS = TU                            Substitution  (QU = QS)

PS = TU                                    Transitive Property

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Hence, the required prove is shown above.

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