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Reptile [31]
3 years ago
11

Suppose that a random sample of size 100 is to be selected from a population with mean 50 and standard deviation 8. What is the

probability that a sample mean will be greater than 50.8? Round your answer to three decimal places.
Mathematics
1 answer:
maksim [4K]3 years ago
7 0

Answer:

0.159

Step-by-step explanation:

Given that:

Sample size (n) = 100

Population mean(pm) = 50

Standard deviation (s) = 8

Probability that Sample mean (m) will be greater Than 50.8

Using the relation :

(sample mean - population mean) / (standard deviation /sqrt(n))

P(m > 50.8)

Z = (50.8 - 50) / (8/ sqrt(100))

Z = 0.8 / (8/ 10)

Z = 0.8 / 0.8

Z = 1

P(Z > 1) = 0.15866 ( Z probability calculator)

Hence,

P(Z > 1) = 0.159 ( 3 decimal places)

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a committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer.
miss Akunina [59]

Answer:

\frac{1}{990}

Step-by-step explanation:

<u>The full question:</u>

<em>"A committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer. each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current​ positions?"</em>

<em />

<em />

The permutation of choosing 3 members from a group of 11 would be:

P(n,r) = \frac{n!}{(n-r)!}

Where n would be the total [in this case n is 11] & r would be 3

Which is:

P(11,3) = \frac{11!}{(11-3)!}=\frac{11!}{8!}=11*10*9=990

So there are total of 990 possible way and there is ONLY ONE WAY for them to be reassigned. Hence the probability would be:

1/990

8 0
3 years ago
A​ painting, including the​ frame, measures 75 cm by 93 cm. ​a) How many centimeters of framing were needed to frame the​ painti
geniusboy [140]

Answer:

A. 6975 cm, B. 69750 mm

Step-by-step explanation:

3 0
3 years ago
HELP PLEASE!!!<br>What is the ratio of 1713.57^2/4113.87^3.
antiseptic1488 [7]

Answer:

  4.21747×10^-5

Step-by-step explanation:

Your calculator can do the division for you. The ratio is about 4.21747×10^-5.

__

This is approximately 10/237109.

6 0
2 years ago
Need the answer ASAP
Evgesh-ka [11]
Anwser:

22.5 or 5/22 or 30

Step-by-step Explanation:

-2 and -2
SSS
-2+-2= -4

-4 x 30= -120

-120 divided by 4 is 30
but that’s not a fraction so you do

22.5 or 5/22

-2 x -2 x 30=

7 0
3 years ago
Which equation represents a quadratic function?
Elena-2011 [213]
Quadratic is where the degree of x is 2
I would think 3 is the one that might have been written as y=x² which would be correct
8 0
3 years ago
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