Question

If a seed is planted, it has a 65% chance of growing into a healthy plant. If 129 randomly selected seeds are planted, answer the following.

a) Which is the correct wording for the random variable?

b) Pick the correct symbol: n Correct = 129

c) Pick the correct symbol: p Correct = 0.65

d) What is the probability that exactly 79 of them grow into a healthy plant? Round final answer to 4 decimal places.

e) What is the probability that less than 79 of them grow into a healthy plant? Round final answer to 4 decimal places.

f) What is the probability that more than 79 of them grow into a healthy plant? Round final answer to 4 decimal places.

g) What is the probability that exactly 80 of them grow into a healthy plant? Round final answer to 4 decimal places.

h) What is the probability that at least 80 of them grow into a healthy plant? Round final answer to 4 decimal places.

i) What is the probability that at most 80 of them grow into a healthy plant Round final answer to 4 decimal places.

Answer 1

solution a) into a 5 12 (129) (0.65) * (0.35) 129-8 Random varable : here, Random variable x is the number of 129 randomly selected seeds that grow healthy plant n=129 P=0.65 ~ Bin (129,0.65) P(x=x) (nce) x pex (939_x, P(x=19) (129420) 60.65)79 (0.35.) 50 0.0485 e) p(x279) : P(x (79) (129) (0.45 )* (0,35)!29-* p(*>79): p (x>79) (129) (0.65)*(0.35)29-4 g) P (x=80) P(x =80) (1920) (0.65 380 (0.35 ) 49 0.0563 P (x280) 78 2 NO 0.1616 . 129 Σ * = 80 0.7899 h2 X = 80 0.7899 8) P ( x 280) 80 (129) (0.65)* (0.35.)"29-2 X-0 0.2663