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Marizza181 [45]
3 years ago
5

The probability that a rental car will be stolen is 0.001. if 25,000 cars are rented from hertz, what is the normal approximatio

n to the probability that fewer than 20 will be stolen?
Mathematics
1 answer:
Georgia [21]3 years ago
3 0
N=25000, p=0.001, np=25000*0.001=25 >10, so the normal approximation should apply.
fewer than 20 => 0,1,2,3...19
Applying the continuity correction, we have X<19.5.
&mu;=np=25
&sigma;&sup2;=npq=25000*.001*.999=24.975 =>
&sigma;=&radic;(24.975)=4.9975
Z(X<19.5)=(19.5-25)/4.9975=-1.100550
P(X<19.5)=P(Z<-1.10055)=0.1355463 [from normal probability table, left tail]
Hence normal approximation to probability that fewer than 20 cars will be stolen is 0.1355.
[actual value by binomial distribution is 0.133450. approximation is quite close]
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If the results are called into question, this means there is potential bias in the survey.

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Having people blindly test brands of ice cream would not create bias, as it is random and fair.

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X + y = 17<br> -x + 3y 7-8<br> :
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4 0
3 years ago
$30 per hour it cut off pls help i give brainlest if it’s correct
tankabanditka [31]

Answer:

t  = 4 h

Step-by-step explanation:

Painter A   initial fee 40 $  and each hour charge 45 $

Painter B   initial fee 100 $ and each hour charge  30 $

The equations for painters are straight lines.

The initial fee is the intercept of the line with the y-axis ( painters receive 40 and 100 $ respectively and they have done nothing.

The equation for a straight line is:

y = m*x + b       where m is the slope and b the intercept with the y-axis

Then

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The equation for Painter A is   y  = 45*t  + 40

Similarly, the equation for Painter B is

y  = 30*t + 100

We have a two equations system, the solution will indicate when the two painters will charge the same amount of money

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y  =  30*t  + 100     (2)

Equation 1 - equation 2

0  =  15*t  - 60

15*t  =  60

t  = 60/15

t  = 4 h

7 0
3 years ago
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