Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
Answer:
b) yes
The manufacturer has the right to state that the light bulbs last on average 400 hours
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<em>Given sample size 'n' = 64</em>
<em>Given standard deviation of the Population (σ)=100</em>
<em>Mean of the sample (x⁻) = 350 hours</em>
<em>95% of confidence interval is determined by</em>
(
(350-24.5 , 350+24.5)
<em>(325.5 , 374.5)</em>
<u><em>Conclusion:-</em></u>
<u><em>Yes</em></u>
The manufacturer has the right to state that the light bulbs last on average 400 hours
Answer:
d
Step-by-step explanation:
Hope this helps! Good luck!
Answer:
-422
Step-by-step explanation:
51[-2]³ - 21 + 7
51[-8] - 14
-408 - 14 = -422
I am joyous to assist you anytime.
A) corresponding angle theorem
