Answer:
x = 77/10
Step-by-step explanation:
Hope this helps!
Answer:
thank you :)
Step-by-step explanation:
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Answer:
a. Mean = 6
Variance = 2.4
Standard Deviation = 1.55
b. P(X=16) = 0.124
Step-by-step explanation:
Given
n = Total shots = 10
p = Probability of success = 60%
p = 60/100
p= 0.6
q = Probability of failure
q = 1-p
q = 1 - 0.6
q = 0.4
a.
Mean = np
Mean = 10 * 0.6
Mean = 6
Variance = npq
Variance = 10 * 0.6 * 0.4
Variance = 2.4
Standard Deviation = √Variance
Standard Deviation = √2.4
Standard Deviation = 1.549193338482966
Standard Deviation = 1.55 --------- approximated
b.
We have X = 16
x = 10
Assume that the events "success" on the various throws are independent.
The 10th success came on the 16th attempt
So, the player had exactly 10 successes and 6 failures on 16th trial
So Probability = nCr 0.6^10 * 0.4^6
Where n = 15 and r = 9 (number of attempts and success before the 16th trial)
15C9 * 0.6^10 * 0.4^6
= 5005 * 0.0060466176 * 0.004096
= 0.123958563176448
= 0.124 ------ Approximated
To solve this problem, let us say that the action of
totally painting a small house is called “1 job”. Therefore the rates of each
person in painting the small house are:
Bill = 1 job / 3 days = 1 / 3
Sharon = 1 job / 4 days = 1 / 4
Wilber = 1 job / 5 days = 1 / 5
Therefore the total rate is calculated by simply adding
the rates of the three.
(1 / 3) + (1 / 4)
+ (1 / 5) = 1 / x
where x is the number of hours it take if all them paint
together
Calculating for by multiplying both sides by 60:
60 [(1 / 3) + (1 /
4) + (1 / 5) = 1 / x]
(60/3) + (60/4) + (60/5) = 60 / x
20 + 15 + 12 = 60 / x
47 = 60 / x
x = 60 / 47 hours
Answer:
60/47 hours
