In testing the lethal concentration of a chemical found in polluted water. it is found that a certain concentration will kill 20% of the fish that are subjected to it for 24 hours. if 20 fish are placed in a tank containing this concentration of chemical. find the probability that after 24 hours : ) exactly 14 fish survive ? b) at least 10 survive ? c) at most 16 fish will die ?

a) 0.1091

b) 0.9994

c) 0.5886

Step-by-step explanation:

X = the number of fish out of 20 that die after 24 hours

x = 0, 1, 2, . . . , 20

X~ Binomial (n= 20, p =0.20)

P(14 survive) = P(X = 6)

= =0.1091

Similarly we can find out

P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994

P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.