Gabriellas school is selling tickets to a fall musical. On the dirst day of ticket sales the school sold 10 senior citizen ticke
1 answer:
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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.
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The sample size is n = 103
The sample mean of sag is
The sample mean of swells is
The standard deviation of sag is
The standard deviation of swells is
The number of swell for a randomly selected transformer is k = 100
The number of sag for a randomly selected transformer is c = 400
Generally the z-score for the number of swells is mathematically represented as
=>
=>
Generally the z-score for the number of sags is mathematically represented as