Elena loves to go fishing. Each time she catches a fish, there is a 70\%70%70, percent chance that it is a northern pike and a 30\%30%30, percent chance it is a walleye. Let XXX be the random variable that represents the number of northern pike Elena gets if she catches 222 fish.

Complete question :

Elena loves to go fishing. Each time she catches a fish, there is a 70, percent chance that it is a northern pike and a 30, percent chance it is a walleye. Let X be the random variable that represents the number of northern pike Elena gets if she catches 2 fish. Find the expected value of the number of Northern pikes Elena catches

1.4

Step-by-step explanation:

P(Northern pike) = 0.7

P(walleye) = 0.3

If 2 fishes are caught :

Number of northern pike (x) :

X = 0

P(walleye 1 st) * p(walleye 2nd) = (0.3 * 0.3) = 0.09

X = 1

P(walleye 1st)*P(Northern pike 2nd) OR P(Northern pike 1st)*P(Walleye 2nd)

= (0.3 * 0.7) + (0.7 * 0.3)

= 0.21 + 0.21

= 0.42

P(x = 2)

P(northern pike 1st) * P(northen pike 2nd)

0.7 *0.7 = 0.49

X: 0 1 2

P(x): ___ 0.09 ___ 0.42 0.49

Expected value of northern pikes :

(0* 0.09) + (1 * 0.42) + (2 * 0.49)

0 + 0.42 + 0.98

= 1.4

step-by-step explanation:

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse