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Ilia_Sergeevich [38]
3 years ago
8

A candy machine has 10 buttons of which one never works, two workone-half the time, and the rest work all the time. A coin isins

erted and a button is pushed at random.
b. If no candy is received, what is the probability that the buttonthat never works was the one pushed?
Mathematics
1 answer:
AURORKA [14]3 years ago
6 0

Answer:

0.5 probability of pressing the button that doesn't work GIVEN that no candy is received.

Step-by-step explanation:

1) The probability of pushing the button that never works: 1/10 = 0.1

2) The probability of pushing one of the buttons that work half the time:              

   2/10 = 0.2

The probability of (2) not working = 0.5

Overall probability of (2) pressed and not working = 0.5 * 0.2 = 0.1

Probability of non working button being pushed GIVEN no candy is received will be: 0.1 / (0.1+0.1) =  0.1/0.2 = 0.5

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MrRissso [65]

Answer:  0.0136

Step-by-step explanation:

Given : Mean : \mu=\ 25

Standard deviation : \sigma= 3.2

Sample size : n=50

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x = 24

z=\dfrac{24-25}{\dfrac{3.2}{\sqrt{50}}}=-2.20970869121\aprox-2.21

The P-value =P(z\leq24)=0.0135526\approx0.0136

Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136

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If we set the vertex at (0,0) then the curve goes through (30,30) 

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