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Advocard [28]
3 years ago
15

The probability that a battery will last 10 hr or more is 0.9, and the probability that it will last 15 hr or more is 0.13. give

n that a battery has lasted 10 hr, find the probability that it will last 15 hr or more. (round your answer to three decimal places.)
Mathematics
1 answer:
galben [10]3 years ago
3 0
P(B|A) = P(B)/P(A) = 0.11/0.7 = =.157
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Answer:

(i) Five number summary: Minimum value = 1, Q_1=18,Median=18.5, Q_3=20.5, Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

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Q_1=\frac{18+18}{2}=18

Median=Q_2=\frac{18+19}{2}=18.5

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Maximum value = 26

The inter quartile range (IQR) of the data is

IQR=Q_3-Q_1=20.5-18=2.5

Upper fence :

Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25

Lower fence :

Q_1-1.5(IQR)=18-1.5(2.5)=14.25

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

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