answer 2 please 2 Decide whether the situations involves bin

2. Decide whether the situations involves binomial probability and explain. Your decision. a. The color of 2 cards that are draw from a standard deck of 52 cards. b. 3 coins tossed simultaneously c. The eye color of five children born of parents who both have brown eyes and both carry the blue eye gene. d. 7 light bulbs checked for defects at an assembly plate, four one assembly and three from another

Solution

The binomial distribution describes the behavior of a count variable X if the following conditions apply:

1: The number of observations n is fixed.

2: Each observation is independent.

3: Each observation represents one of two outcomes (\"success\" or \"failure\").

4: The probability of \"success\" p is the same for each outcome.

a) it is a binomial as it follows all the above conditions

b) it is a binomial as it follows all the above conditions

c)as the eye colour of chidren not fixed as an outcome, id soes not fulfill conditions 3 and 4.

d)it foolows all the condition hence binomial