Stats & probability Read and follow the directions below and answer all question
ID: 3252691 • Letter: S
Question
Stats & probability
Read and follow the directions below and answer all questions! Do not do this problem unless you are going to answer them all! I will rate!
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For the following questions please include the results of your data collection and then enter your answer. For example, if you are asked to roll a single die 10 times you might write:
4 2 1 1 3 6 5 2 4 3
P(3) = 2/10 = 0.20
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1.) Draw 3 cards without replacement (in other words, draw the top 3 cards from a shuffled deck), repeat this 10 times (for fairness you should reshuffle the cards between each set of 3 cards). Determine the following probabilities from your results
A.) P(one of the cards is a spade)
B.) P(All 3 cards are a Face card AND club)
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2.) Calculate the theoretical probability of getting the following and compare them to your randomly generated results above.
A.) P(one of the cards is a spade)
B.) P(All 3 cards are a Face card AND club)
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3.) Toss a coin 20 times and record the number of heads and tails.
--------------> I flipped 12 heads and 8 tails.
A.) Given that the theoretical probability of getting heads is 0.50, how many of the 20 coin tosses would you expect to be heads?
Answer: I would expect the heads and tails would have the same amount at 10 apiece.
B.) What would be the standard deviation of the theoretical binomial distribution?
Answer:???? <------------Please help
Explanation / Answer
3)
A)I would expect 10 to heads and 10 be tails.
Because, np or the expected mean is 20*.5 = 10
B) The standard deviation in a binomial dist is given by :
sqrt(npq) = sqrt(20*.5*.5) = 2.236