The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4xr where r is the radius of the balloon (in meters). If the radius r is increasing with time t (in seconds) according to the formula t, t20, find the surface area S of the balloon as a function of the time t. r(t) =

Q: P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05. What is P(A and B)?

A: Given that  P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05

Q: 10! 9! с. 4!(10-4 )! d. 8p5 9! 10! b.

A:

Q: iven P(A) = 0.40, P(B) = 0.25, and P(B|A) = 0.11, what is P(A or B)?

A: Given,P(A)=0.40P(B)=0.25P(B/A)=0.11

Q: If P(A or B) = 0.7 and P(A) = 0.44, and P(A and B) = 0.22, determine P(B)

A:

Q: If P(A or B)= 0.8, P(A)= 0.5 and P(A and B) = 0.25, find P(B)

A:

Q: Suppose that P(E)=0.76, P(F)= 0.45, and P(E and F) = 0.32. What is P(E or F)? P(E or F) (Simplify…

A:

Q: Given P(A and B) = 0.23, P(A) = 0.84, what is P(B|A)?

A:

Q: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)

A: From the properties of probability, for any two events A and B we have

Q: If P (A) = 0.57, P(B) = 0.5, and P (A and B) = 0.48, find P (A or B). P(4 or B) =O

A: We have given that,  A and B are two events with P(A) = 0.57,          P(B) = 0.5 and P( A and B) =…

Q: If P(A) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: If P (A) = 0.55, P(B) = 0.7, and P(A B) = 0.42, find P (A or B). and P(4 or B) = D

A:

Q: If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:     1.4     1.8     0.714…

A: P(A)=0.35 P(B)=0.45 P(A and B)=0.25   P(A/B)=P(A and B)P(A)=0.250.35=0.714

Q: If P(A) = 0.73, P(A U B) = 0.88, and P(A n B) = 0.58, find P(B). O 0.15 0.26 0.58 0.73

A: P(A)=0.73P(AB)=0.88P(AB)=0.58

Q: Given P(A and B) = 0.10, P(A) = 0.68, what is P(B|A)

A: Given that, P(A and B) = 0.10 P(A) = 0.68

Q: (d) At least 13 of them do not use the website.

A: It is given that the number of observations are independent of the probability of success p = 15% =…

Q: If P(A) 0.3 , P(B) = 0.8 and P(A or B) = 0.9 Find P(A and B).

A:

Q: If P(A)=0.32, P(B)=0.16, and P(A | B)=0.625, find P(A and B), P(A or B) and P(B|A).

A: This question is based on Probability formula.

Q: Suppose P(A)=0.6, P(B)=0.4, and both A and B are independent. Calculate P(A or B).

A: We have to find given probability.

Q: If x =-1 and y =-3, what is the value of -a-3y

A: Given, x=-1, y=-3 We have to find the value of -x-3y

Q: Suppose P(A) = 0.76, P(B) = 0.12 and P(A or B) = 0.54. Determine P(A and B).

A: The information provided in the question are as follows :- P(A) = 0.76 P(B) = 0.12 And P(A or B) =…

Q: If e7 23, then x =

A: Given,          e7x=23

Q: Assume that P (A n B) = 0.25, P (B) = 0.65, and P ( A 0.15. Find P (A).

A:

Q: If P(A) = 0.5, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

A:

Q: If (a-b)/c = (c-b)/a = 0.1, what are a, b, and c?

A: (a-b)/c = (c-b)/a = 0.1

Q: Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at…

A: W = within 5 minute A = after 5 minute total N = none 391 66 457 M = mild 65 341 406 S =…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.