Basic Statistics > A-Level Question Paper > Sophia Statistics Fundamentals Unit 3 Milestone (All)
What is the probability of drawing a spade or a jack from a standard deck of 52 cards? RATIONALE Since it is possible for a card to be a spade and a jack, these two even... ts are overlapping. We can use the following formula: In a standard deck of cards, there are 13 cards that have Spade as their suit, so . There is a total of 4 Jacks, so . Of the 4 Jacks, only one is spade so . CONCEPT "Either/Or" Probability for Overlapping Events 2 A survey asked 1,000 people which magazine they preferred, given three choices. The table below breaks the votes down by magazine and age group. Age Below 40 Age 40 and Above The National Journal 104 200 Newsday 120 230 The Month 240 106 If a survey is selected at random, what is the probability that the person voted for "Newsday" and is also age 40 or older? Answer choices are rounded to the hundredths place. 0.54 0.34 0.23 0.66 RATIONALE If we want the probability of people who voted for "Newsday" and are also age 40 and over, we just need to look at the box that is associated with both categories, or 230. To calculate the probability, we can use the following formula: CONCEPT Two-Way Tables/Contingency Tables 3 Mark noticed that the probability that a certain player hits a home run in a single game is 0.175. Mark is interested in the variability of the number of home runs if this player plays 200 games. If Mark uses the normal approximation of the binomial distribution to model the number of home runs, what is the standard deviation for a total of 200 games? Answer choices are rounded to the hundredths place. [Show More]
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