Afarmer who grows genetically engineered corn is experiencing trouble with corn borers. a random check of 5,000 ears revealed the following: many of the ears contained no borers. some ears had one borer; a few had two borers; and so on. the distribution of the number of borers per ear approximated the poisson distribution. the farmer counted 3,500 borers in the 5,000 ears. what is the probability that an ear of corn selected at random will contain no borers?

The required probability is 0.4966

Step-by-step explanation:

Consider the provided information.

The probability mass function of poisson distribution:

Where λ is called parameter.

It is given that The farmer counted 3,500 borers in the 5,000 ears.

Thus, the value of the parameter is:

The probability that an ear of corn selected at random will contain no borers is:

Hence, the required probability is 0.4966

answer: what in the world is this

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9