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Answer:
The probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.
Step-by-step explanation:
Let <em>X</em> = number of household owns a sports car.
The probability of <em>X</em> is, P (X) = p = 0.07.
Then the random variable <em>X</em> follows a Binomial distribution with <em>n</em> = 3 and <em>p</em> = 0.07.
The probability function of a binomial distribution is:
Compute the probability that of the 3 households randomly selected at least 1 owns a sports car:
Thus, the probability that of the 3 households randomly selected at least 1 owns a sports car is 0.1956.
QUESTION A
The given multiplication problem is
Factor each term to obtain;
Cancel out the common factors to obtain;
Simplify to get;
QUESTION B
The given multiplication problem is
This the same as
This simplifies to;
QUESTION C
The given problem is
This is the same as
This simplifies to
QUESTION D.
The given expression is
Factor the 54 to obtain;
Cancel the common factors to get;
This simplifies to;
QUESTION E
The given problem is
Convert the mixed numbers to improper fraction to obtain;
Cancel the common factors to get;
QUESTION F
The multiplication problem is
Convert the mixed numbers to improper fractions to obtain;
Cancel out the common factors to get;
Simplify;
QUESTION G
The given problem is
Convert to improper fractions;
Cancel out the common factors to get;
Convert back to mixed numbers
QUESTION H
The given expression is
Convert to improper fraction to get;
Cancel common factors to get;
Simplify
Convert back to mixed numbers;