Sophie is a dog that loves to play catch. Unfortunately, she isn't very good, and the probability that she catches a ball is only 0.2. Let x be the number of tosses required until Sophie catches a ball. (a) Does x have a binomial or a geometric distribution? O binomial O geometric (b) What is the probability that it will take exactly three tosses for Sophie to catch a ball? (c) What is the probability that more than 4 tosses will be required?

Several friends chartered a boat for a day's fishing. They caught a total of 63 fish. The table below provides information about the type and number of fish caught. Determine the empirical probability that the next fish caught is a kingfish. Fish Number caught Grouper Shark Flounder Kingfish 11 20 6 26 P(kingfish) = (Simplify your answer. Type a fraction.)

A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X.  The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 What is the average number of blue cards drawn? What is the probability that at most one blue card is drawn?

In Alpha College, students are required to join at least one school club to get extra-curriculum activities’ marks.Suppose the following table represents the probability distribution function of the number of clubs (?) astudent join: ?  1  2 3 4 ?(? = ?)  0.1  2?   ? + 0.1  ? (a) Find the value of ?.(b) What is the probability that a student joins at most two clubs?(c) Find ?(?), ???(?) and ?(?).(d) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let ? bethe total membership fee a student pay. Compute ?(?) and ?(?).(e) What percentage of students are paying not less than $200 for the total membership fee?(f) Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student payingfor joining school club(s) (based on the results in parts (d) and (e)).

Need help with this probability question.

Find the probability ​P(Ec​) if ​P(E)=0.17.

Toilet Flushing In the Healthy Handwashing Survey conducted by Bradley Corporation, it was found that 64%of adult Americans operate the flusher of toilets in public restrooms with their foot. Suppose you survey a random sample of 740 adult American women aged 18–24 years. Use the normal approximation to the binomial to approximate the probability that (a)  exactly 490 of those surveyed flush toilets in public restrooms with their foot.  (b)  no more than 490 of those surveyed flush toilets in public restrooms with their foot.   (c)  at least 503 of those surveyed flush toilets in public restrooms with their foot. What does this result suggest?

A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 1. If we replaced the yellow card in the first deck with another blue card, what would be the probability of drawing two blue cards? 2. If we replaced the yellow card in the first deck with another blue card, what distribution would the variable X follow?

A probability distribution function has which characteristic(s)? (Select all characteristic that applies.) Each probability is between zero and one, inclusive. Each probability is larger than one. The sum of the probabilities is one. The sum of the probabilities is larger than one.

What is the probability that Z is between −1.58 and 1.84​?   The probability that Z is between −1.58 and 1.84 is _________