A coin which has probability p of coming up Heads is tossed three times. Let X be the number of Heads observed.  What is ℙ(?=1)?

Q: . Write the distribution for the formula and determine whether it is a probability distribution or…

A: The probability distribution of the random variable X is given.

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: The data is given for the results of a test for certain…

Q: A diagnostic test for a certain disease is applied to n individuals known to not have the disease.…

A:

Q: Assume that when adults with smartphones are randomly selected,56​% use them in meetings or classes.…

A: Given,n=5p=0.56Let X=no.of adults use their smartphones in meeting or classesX~Binomial(n=5 ,…

Q: A radioactive source emits particles at an average rate of one every 12   seconds. Find the…

A: Given problem Given that   A radioactive source emits particles at an average rate of one every 12…

Q: Let R be the event that a randomly chosen athlete runs. Let W be the event that a randomly chosen…

A: This is question based on conditional probability. Let E and F be any two events. Then,  P(E | F)…

Q: A group of faculty  were asked if they have a tenured or nontenured  position. The responds are…

A: Given that contingency table Now using this table find required probability.

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and…

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Q: E is an event and P(not E) = 0.4. Find P(E).

A: According to the provided information,