In studying a certain endangered species, scientists have found that when the animals are relocated, it takes x years without offspring before the first young are born, where x and the probability of x are given below. What is the expected number of years before the first young are born?
?
x 0123 4 Pr(x)0.120.240.360.120.16?
A. 1.96 years
B. 0.96 years
C. 0.64 years
D. 1.56 years
E. 1.68 years
Answer: A
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Solve the problem.A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $1000 with a probability of 0.3. What is the expected profit?
A. $25,000 B. $17,900 C. $18,200 D. $18,900
Determine all values that cause the expression to be undefined.
A. None B. 0 C. -5 D. 5
Solve the equation by completing the square. Then (i) give the exact solutions and (ii) give the solutions rounded to the nearest thousandth.2x2 + 3x = 1 + 5x
A. (i) (ii) {0.366, -1.366}
B. (i) {1 ± } (ii) {2.732, -0.732}
C. (i) {-1 ± } (ii) {0.732, -2.732}
D. (i) (ii) {1.366, -0.366}
Solve the equation. = 12
A. 144 B. 12 C. -12 D. 12, -12