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VashaNatasha [74]
3 years ago
10

A pair of fair dice is rolled.

Mathematics
2 answers:
mezya [45]3 years ago
5 0
A) 4/36, or 1/9
b) 1-1/9=8/9
Kobotan [32]3 years ago
5 0
Sample space={6 x 6} = 36 possible outcomes:

Favorable outcome {(3+6),(4+5),(5+4),(6+3) = 4 favorable outcome:

P(getting a sum = 9) = 4/36 = 1/9 = 0.1111

the odds  AGAINST = the number of failure/number of success

the odds  AGAINST = 1/9
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The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.
tatuchka [14]

Answer:

a)Null hypothesis:- H₀: μ> 500

  Alternative hypothesis:-H₁ : μ< 500

b) (5211.05 , 5411.7)

95% lower confidence bound on the mean.

c) The test of hypothesis t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Step-by-step explanation:

<u>Step :-1</u>

Given  a random sample of 15 devices is selected in the laboratory.

size of the small sample 'n' = 15

An average life of 5311.4 hours and a sample standard deviation of 220.7 hours.

Average of sample mean (x⁻) =  5311.4 hours

sample standard deviation (S) = 220.7 hours.

<u>Step :- 2</u>

<u>a) Null hypothesis</u>:- H₀: μ> 500

<u>Alternative hypothesis</u>:-H₁ : μ< 500

<u>Level of significance</u> :- α = 0.95 or 0.05

b) The test statistic

t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n-1} } }

t = \frac{5311.4 - 500}{\frac{220.7}{\sqrt{15-1} } }

t = 5.826

The degrees of freedom γ= n-1 = 15-1 =14

tabulated value t =1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

calculated value t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Null hypothesis is rejected at  95% confidence on the mean.

C) <u>The 95% of confidence limits </u>

(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } ,x^{-} + t_{0.05}\frac{S}{\sqrt{n} } )

substitute values and simplification , we get

(5311.4 - 1.761 \frac{220.7}{\sqrt{15} } ,5311.4 +1.761\frac{220.7}{\sqrt{15} } )

(5211.05 , 5411.7)

95% lower confidence bound on the mean.

5 0
3 years ago
John buys a computer on sale for $450.00. He
a_sh-v [17]
First you can add 50 dollars to 450 dollars which is 500 then divide that 500 by 2 and that is 250
7 0
2 years ago
Read 2 more answers
The Oregon Trail is 2,197 miles long. How long would it take a covered wagon traveling 20 miles a day to complete the trip? Writ
Valentin [98]
It would take 109 17/20 of a day
7 0
3 years ago
Read 2 more answers
A basketball is shaped like a sphere as shown in the diagram. The basketball has a radius of 4.7 inches.
VMariaS [17]

Answer:

434.9

Step-by-step explanation:

The circumference is 29.53.

Hope that this helps!

7 0
2 years ago
What ordered pairs name the origin
Elis [28]
The ordered pair of the origin is (0,0)
4 0
3 years ago
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