Someone please help??
1 answer:
Answer:
see below
Step-by-step explanation:
The problem statement seems to presume you have seen an exponential function like this written as ...
f(t) = a0·(1 +r)^t
where a0 is the value corresponding to f(0) and "r" is the fractional rate at which the value increases for each increment of t.
Here, 1+r corresponds to 1.04 in the given function, so r = 0.04 = 4%. When the value is <em>greater than 0</em>, it means there is an <em>increase</em> by that fraction each time t increases by 1.
Here, t is not defined, either, but it would usually be used to represent years in a situation like this. (In other situations, it might represent months, hours, or millenia.)
Hence, the appropriate choice is the one that describes a 4% annual increase.
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Answer:
The probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.
Step-by-step explanation:
Represent the provided data as follows:
Compute the probability of the number of Protestants that were calm for 2 out of 3 days as follows:
The number of Protestants surveyed is, <em>n</em> (Protestants) = 99.
The number of Protestants who were calm for 2 days,
<em>n</em> (Protestants who were calm for 2 days) = 6
The required probability is:
Thus, the probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.
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.