Question

mutually exclusive : If it is impossible Two Events are said to be mutually exclusiu for Buth events to occur. 1. 70 preschoolers where asked if they preferred the color "Pink" or the color "Blue". 35 girls chose "Pink", 15 girls chose "Blue", 5 boys chose "Pink", and 15 boys chose "Blue". Which of the following are categorical variables?! A. The color chosen by preschooler B. Age of the preschooler Quantitative C. Number of preschooler surveyed Quantitative D. Gender of the Preschooler. names or labels 2. Is event 1 and event 2 mutually exclusive of each other? Eventl. Pre-Schoole A. Yes, The gender of preschooler has no affect on color preference Event 2.Pre-sal B. Yes, Girls prefer the color pink to the color blue Prefors the colo No, A girls preschooler can prefer the color blue to the color pink to the CNDY 3. 70 preschoolers were asked whether they preffered blue or pink. 35 Girls chose pink as proferred color 15 girls chose blue as preferred color 5 boys chose pink as preferred

Answer 1

1) The categorical variables are the colour chosen by preschooler and the gender of the preschooler. So option A and D are the correct answer.

2) No, the two events are not mutually exclusive because a girl preschooler can prefer the blue colour to the pink colour. So option c is the correct answer.

3) Total numbe of preschoolers = 70

Total number of preschoolers who are girls and prefer blue colour = 15

So, the probability that a randomly picked preschooler is a girl that prefers blue colour = 15/70

= 0.21.

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