Rectangle A’B’C’D is the imagine if rectangle ABCD after a dilation. The center of dilation is the orgin. What is the scale fact
or of the dilation?
1 answer:
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778.5 Million in Scientific Notation is..
7.785 ×
Answer:
a)0,45119
b)1
Step-by-step explanation:
For part A of the problem we must first find the probability that both people in the couple have the same birthday (April 30)
Now the poisson approximation is used
λ=nP=80000*1/133225=0,6
Now, let X be the number of couples that birth April 30
P(X ≥ 1) =
1 − P(X = 0) =
P(X ≥ 1) = 0,45119
B) Now want to find the
probability that both partners celebrated their birthday on th, assuming that the year is 52 weeks and therefore 52 thursday
Now the poisson approximation is used
λ=nP=80000*52/133225=31.225
Now, let X be the number of couples that birth same day
P(X ≥ 1) =
1 − P(X = 0) =
P(X ≥ 1) = 1
Answer:
(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.
(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.
Step-by-step explanation:
<u>The complete question is:</u> General Hospital has noted that they admit an average of 8 patients per hour.
(a) What is the probability that during the next hour less than 3 patients will be admitted?
(b) What is the probability that during the next two hours exactly 8 patients will be admitted?
The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;
Here X = Number of patients admitted in the hospital
= arrival rate of patients per hour = 9 patients
So, X ~ Poisson( = 9)
(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
=
=
= <u>0.00623</u>
(b) Here, = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.
So, X ~ Poisson( = 18)
Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)
P(X = 8) =
= <u>0.00416</u>