Use the box-and-whisker plots to determine which statements are true.
1 answer:
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Answer:
0.081,0.2621,0.645,0.919
Step-by-step explanation:
Let X be the average speed of a car driving down freeway
Given that X is normal with mean as 70mph with a standard deviation of 5mph.
To convert to Z score we do
a) the probability that a randomly selected car is driving more than 77mph
b) probability that a randomly selected car is driving between 65 and 69 mph
=
c) the probability that a randonly selected car is driving between 67 and 77mph
=
d) the probability that a randomly selected car is driving less than 77mph
Answer:
(a) 0.999664
(b) 15052
Step-by-step explanation:
From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.
So, the probability of death is .
Assuming, this probability holds true for each skydiving and does not change in the present time.
So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.
Denoting the probability of dying in a single jump by .
.
So, the probability of survive,
(a) The total number of jump he made, n=48
Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is
(approx)
So, the probability of survive in 48 skydiving is 0.999664,
(b) The given probability of surviving =90%=0.9
Let, total skydiving jumps required to meet the surviving probability of 0.9.
So, By using Bernoulli's equation,
Here, r=n.
[ taking
both sides]
The number of diving cant be a fractional value, so bound it to the upper integral value.
Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.