Complete the following probability distribution table: Probability Distribution Table X P(X) −11-11  0.3 −8-8  0.2 4343    5050

Q: p(4) = Write an integer or decimal

A: Here given discrete probability distribution of X Here use rule , Total probabilityalways equal to 1

Q: Complete the following probability distribution table: Probability Distribution Table X P(X) -22…

A: Given that, X P(X) -22 0.1 -1 0.1 8 0.5 35 x

Q: Is the following a Probability Distribution Function?

A: Given : x p(x) 0 0.01 1 0.97 2 0.02 3 0.1

Q: x P(x) 0 0.05 1 0.05 2 0.15 3 0.75 Find the mean of this probability distribution.

A: 0 0.05 0 1 0.05 0.05 2 0.15 0.30 3 0.75 2.25

Q: A 40-year-old man in the U.S. has a 0.248% risk of dying during the next year. An insurance company…

A: Dying risk = 0.248% Probability(dying)= 0.248/100 = 0.00248   P(not dying)= 1 - P(dying) = 1 -…

Q: For any continuous probability distribution, P(x = a) = 0 for all values of a. %3D O A. True O B.…

A: Solution:   Here we have given that an statement about a continuous probability distribution.

Q: Find mean (x)  ( round to two decimal places )   B. Find standard deviation of x ( round to two…

A: he following table shows the provided outputs of the discrete random variables, along with the…

Q: Verify whether the given table represents a probability distribution.  In those cases where a…

A: According the probability theorem the sum of all the probabilities is 1. Therefore, for the given…

Q: Determine the required value of the missing probability to make the distribution a discrete…

A: The objective of this question is to find the missing probability value for the event of getting a 4…

Q: Calculate the probability from the z-table. a. ?(? > −0.45) b. ?( ? < 2.10) c. ?(0 < ? < 2.10)

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: A survey of almost 44,000 two-child families yielded the accompanying table. The probability…

A: From the provided information, The probability distribution of x is as follow: x 0 1 2…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!