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Sedbober [7]
3 years ago
11

Use Excel to find each probability. (Round your answers to 4 decimal places.) Probability a. P(80 < X < 110) for N(100,15)

b. P(1.50 < X < 2.00) for N(0,1) c. P(4,500 < X < 7,000) for N(6000,1000) d. P(225 < X < 450) for N(600,100)
Mathematics
1 answer:
Katen [24]3 years ago
4 0

Answer:

Step-by-step explanation:

a) P(80 < X < 110) for N(100,15)

Mean 100 sd=15  

z F (x)

80 -1.333333333 0.09121122

110 0.666666667 0.747507462

 

P(80<x<110) 0.656296243

b. P(1.50 < X < 2.00) for N(0,1)

z F (x)

1.5 0.933192799

2 0.977249868

P(1.50 < X < 2.00) =0.04406

c. P(4,500 < X < 7,000) for N(6000,1000)

6000 1000  

z F (x)

4500 -1.5 0.066807201

7000 1 0.841344746

 

P(4500<x<7000) 0.774537545

d. P(225 < X < 450) for N(600,100)

600 100  

z F (x)

225 -3.75 8.84173E-05

450 -1.5 0.066807201

 

P(225<x<450) 0.066718784

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3 years ago
If f(x)=(1/8)(8^x) what is f(3)?<br> A. 1/512<br> B. 1/64<br> C. 512<br> D. 64
cestrela7 [59]
Hi there!

Let's solve this problem step by step!
f(x) =  \frac{1}{8} (8 {}^{x})

To find f(3) we must substitute x = 3 into the formula.
f(3) =  \frac{1}{8} (8 {}^{3} )

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
f(3) =  \frac{1}{8}  \times 512

And finally multiply.
f(3) =  \frac{1}{8}  \times  \frac{512}{1}  =  \frac{512}{8}  = 64

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4 0
3 years ago
Read 2 more answers
Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}  

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is P(T)=\frac{1}{2}

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green P(S)=\frac{2}{3}

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three P(C)=\frac{1}{6}

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

P=P(T)+P(S)+P(C)

P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}

P=\frac{3+4+1}{6}

P=\frac{8}{6}

P=\frac{4}{3}

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}

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