Question

Let X be random variable of the number of "heads" of a coin tossed 4 times. a) Calculate the probability distribution as a list seperated by commas in order, List of $f(x)$: For example: 1/50, 9/50, 25/50, ... b) Calculate the cummulative distribution of as a list seperated by commas in order, List of $F(x)$: For example: 1/50, 10/50, 35/50, ...

          Let X be random variable of the number of "heads" of a coin tossed 4 times.
a)
Calculate the probability distribution as a list seperated by commas in order,
List of $f(x)$:
For example: 1/50, 9/50, 25/50, ...
b)
Calculate the cummulative distribution of as a list seperated by commas in order,
List of $F(x)$:
For example: 1/50, 10/50, 35/50, ...

Let X be random variable of the number of "heads" of a coin tossed 4 times.
a)
Calculate the probability distribution as a list seperated by commas in order,
List of f(x):
For example: 1/50, 9/50, 25/50, ...
b)
Calculate the cummulative distribution of as a list seperated by commas in order,
List of F(x):
For example: 1/50, 10/50, 35/50, ...

Added by Devin V.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert T. L.

Step 1

Since we are tossing a fair coin 4 times, there are 2^4 = 16 possible outcomes. We can calculate the probability of each value of X using binomial coefficients. a) Probability distribution of X: - P(X=0): There is only 1 way to get 0 heads (all tails), so the Show more…

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Let X be a random variable representing the number of "heads" obtained from tossing a coin 4 times. a) Calculate the probability distribution as a list separated by commas in order. List of f(x): For example: 1/16, 4/16, 6/16, 4/16, 1/16 b) Calculate the cumulative distribution as a list separated by commas in order. List of F(x): For example: 1/16, 5/16, 11/16, 15/16, 16/16