Let A denote the event that the next request for assistancefrom a statistical software consultant relates tothe SPSS package, and let B be the event that the nextrequest is for help with SAS. Suppose that P(A) 5 .30and P(B) 5 .50.a. Why is it not the case that P(A) 1 P(B) 5 1?b. Calculate P(A9).c. Calculate P(A ø B).d. Calculate P(A9 ù B9)

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A: Given,  P(A) = 0.004

Q: C1. Let A and B be two events with P(A) = 0.8 and P(B) = 0.4. The following questions concern the…

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A:

Q: (i) P(A) (i) P(B) (iii) P(A n B)

A: According to the answering guidelines, we can answer only three subparts of a question and the rest…

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A: Given, P(A) = 0.87 P(B) = 0.90 P(C) = 0.48  P(A, B, and C)=?

Q: 2. jrhe following probabilities are given for a certain life: SP80 - 0 65, 25 Pss - 0.45, and 20P55…

A: Given the following probabilities p805=0.65, p55  25=0.45  andp55  20=0.35

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A:

Q: s some event, if P(A) = 0.91 , what is the value of P(A)?

A: Given P(A) = 0.91

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A:

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Q: a.  Given   P(A)  =  0.2,   P(B)  =0.3 and  P(A and B ) = 0.1              Find   (i)  P ( A or B )…

A: As per our guidelines we are suppose to answer first question . P(A)=0.2P(B)=0.3P(A∩B)=0.1

Q: 2. jrhe following probabilities are given for a certain life: 5P80 - 0 65, 25 Pss 0.45, and 20P55 =…

A:

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A: It is an important part of statistics. It is widely used.

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A:

Q: Suppose that E and F are two events and that N(E and F)=340 and N(E)=720. What is P(F|E)​?…

A: Given,  N(E and F)=340 and N(E)=720.

Q: If A denotes some event, what does A denote? If P(A) = 0.993, what is the value of P(A)? What does A…

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Q: Suppose two events, A and B, are defined where P(A)=P(B)=.4 and P(AorB)=.65. What is P(AandB)

A: Given : P(A)=P(B)=.4 and P(AorB)=.65

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A: given data  A and B are  mutually exclusive events P(B) = 0.27 P(A or B ) = 0.635 P(A) = ?

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A: given data  normal distribution μ = 51803σ = 4850n = 39P(x¯&lt;48800) = ?

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Q: None

A: a)(P(Z&gt;1.85))To find (P(Z&gt;1.85)  , we need to look up the value of ( Z = 1.85 ) in the…

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: .2 .4 A B C diagram to find the probabilities below. a) P(A) 5 .5 3 .7 A .6 E E ES ES

A:

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.