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denis23 [38]
3 years ago
11

The price of an item has been reduced by 35%. The original price was $75 . Wats the price now

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
7 0

Answer:

$48.75

Step-by-step explanation:

Turn the percentage into a decimal.

35% = 0.35

Multiply.

75 * 0.35 = 26.25

Subtract.

75 - 26.25 = 48.75

Best of Luck!

scZoUnD [109]3 years ago
4 0

Answer:$48.75

Step-by-step explanation:

75x.35=26.25

75-26.25=48.75

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Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

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