Answer: D.) 3
Step-by-step explanation:
Given: Mean diameter:
Standard deviation:
The required number of standard deviations is given by :-
Hence, a beach ball with a diameter of 31.9 cm is 3 standard deviations differ from the mean.
Answer:
(A) 0.15625
(B) 0.1875
(C) Can't be computed
Step-by-step explanation:
We are given that the amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 32 and 64 minutes.
Let X = Amount of time taken by student to complete a statistics quiz
So, X ~ U(32 , 64)
The PDF of uniform distribution is given by;
f(X) = , a < X < b where a = 32 and b = 64
The CDF of Uniform distribution is P(X <= x) =
(A) Probability that student requires more than 59 minutes to complete the quiz = P(X > 59)
P(X > 59) = 1 - P(X <= 59) = 1 - = 1 - = = 0.15625
(B) Probability that student completes the quiz in a time between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)
P(X <= 43) = = = 0.34375
P(X < 37) = = = 0.15625
P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875
(C) Probability that student complete the quiz in exactly 44.74 minutes
= P(X = 44.74)
The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.
Answer:
<span>P<span>(0)</span>=0</span>
Explanation:
A standard number cube has no sides with a 0. Therefore, the probability of a 0 coming up is <span><span>06</span>=0</span>.
Answer:
22/35
Step-by-step explanation:
width/length = 66/105 = 22/35