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DedPeter [7]
3 years ago
11

Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 60% can be repaired

, whereas the other 40% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly three will end up being replaced under warranty? (Round your answer to three decimal places.)
Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer: 0.034

Step-by-step explanation:

Given : P(Submitted under warranty)= 0.20

P(Replaced  | Submitted under warranty)=0.40

P(Replaced and Submitted under warranty )= P(Submitted under warranty)×P(Replaced  | Submitted under warranty)

=0.20\times0.40=0.08

Let x be the number of telephones will end up being replaced under warranty.

Total telephones purchased : n= 10

Using binomial probability formula : P(X)=^nC_xp^x(1-p)^{n-x}

i.e. The probability that exactly three will end up being replaced under warranty will be :-

P(X=3)=^{10}C_3(0.08)^3(1-0.08)^{10-3}\\\\=\dfrac{10!}{3!(10-3)!}(0.08)^3(0.92)^7\\\\=0.03427409518\approx0.034 [Rounded to three decimal places. ]

Hence, the probability that exactly three will end up being replaced under warranty : 0.034

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At the city Museum child admission is $5.30 and adult admission is $9.30 on Sunday 146 tickets were sold for a total sales of $1
DerKrebs [107]

Answer:

The number of child tickets is 53

And adult tickets sold out is 93

Step-by-step explanation:

Let the child tickets be x

And the adult tickets be y

x+y = 146 - - - - - - - 1

x= 146-y

5.3x + 9.3y= 1145.80 - - - - - 2

We can substitute x= 146-y in equation 2

5.3(146-y) + 9.3y= 1145.80 - -- 2

773.8 - 5.3y +9.3y = 1145.80

773.8+4y= 1145.80

4y= 1145.80-773.8

4y= 372

y= 372/4

y= 93

We can now substitute y= 93 in equation 1 to find x

x+ 93= 146

x= 146-93

x= 53

Hence

The number of child tickets is 53

And adult tickets sold out is 93

6 0
3 years ago
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Step-by-step explanation:

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Fractions are equal when one fraction can be obtained from the other.

Step-by-step explanation:

equality means a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.

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