Answer:
36 fries
Step-by-step explanation:
Michael has a probability of 0.3.
Lidia has a probability of 0.1.
Alexandra has the probability of 0.32.
Catherine has the probability of 0.1.
Let the probability of Ronald be x
Sum of all the probabilities must be 1
So, 
So, probability of Ronald is 0.18
We are given that here are 200 fries in the basket.
So, the number of fries that Ronald will eat = 
Hence Ronald will eat 36 fries.
Let X be a discrete binomial random variable.
Let p = 0.267 be the probability that a person does not cover his mouth when sneezing.
Let n = 18 be the number of independent tests.
Let x be the number of successes.
So, the probability that the 18 individuals, 8 do not cover their mouth after sneezing will be:
a) P (X = 8) = 18! / (8! * 10!) * ((0.267) ^ 8) * ((1-0.267) ^ (18-8)).
P (X = 8) = 0.0506.
b) The probability that between 18 individuals observed at random less than 6 does not cover their mouth is:
P (X = 5) + P (X = 4) + P (X = 3) + P (X = 2) + P (X = 1) + P (X = 0) = 0.6571.
c) If it was surprising, according to the previous calculation, the probability that less than 6 people out of 18 do not cover their mouths is 66%. Which means it's less likely that more than half of people will not cover their mouths when they sneeze.
The formula for the volume of pyramid is,
Here, B is base area and height of pyramid.
The volume expression for group 4 is,
Here, expression,
represents the base area and 9 represent the height of pyramid.
So height of the pyramid created by group 4 is 9.
Answer: 9
The following formula is applicable;
A=P(1+r)^n
Where,
A = Total amount accrued after 10 years (this is the amount from which the yearly withdrawals will be made from for the 30 years after retirement)
P=Amount invested today
r= Annual compound interest for the 10 years before retirement
n= Number of years the investments will be made.
Therefore,
A= Yearly withdrawals*30 years = $25,000*30 = $750,000
r= 9% = 0.09
n= 10 years
P= A/{(1+r)^n} = 750,000/{(1+0.09)^10} = $316,808.11
Therefore, he should invest $316,808.11 today.
