MAT 152 4.2 – 4.3 Collected Assignment Question 1:
The two-way table below summarizes the preference in breakfast foods based on gender. French Toast Pancakes Waffles Omelettes Total
Men 47 35 28 53 163 Women 65 59 55 60 239 Total 112 94 83 113 402 a)
Complete the table by finding the marginal totals. b)
If an individual is randomly selected, what is the probability that they prefer waffles? 0.2065/ 20.65% c)
What is the probability that a randomly selected person prefers waffles or is a man? 0.5423/ 54.23% d)
What is the probability that a randomly selected person is a woman and prefers pancakes? 0.1468/ 14.68% e)
Suppose three people are selected with replacement. What is the probability that they all are women? 0.2101/ 21.01% f)
If five people are selected with replacement, what is the probability that at least one of them prefers omelettes? 0.808/ 80.8% g)
What is the probability that a randomly selected person does not prefer French toast? 0.7286/ 72.86% h)
What is the probability that a randomly selected person prefers pancakes given they are a man? 0.2147/ 21.47%