The probability of rainy days in a certain area in a season is 0.3, and the accuracy of the weather forecast by the meteorological station is 0.8. The products produced by a certain factory are afraid

The probability of rainy days in a certain area in a season is 0.3, and the accuracy of the weather forecast by the meteorological station is 0.8. The products produced by a certain factory are afraid of rain that day, and if it rains, they will not

(1) 900 yuan (2) (3)

(1) Assuming the number of losses, the probability distribution is:

0

3 000

P

0.7

0.3

∴E（ )="3" 000×0.3=900 (yuan).

(2) is the loss number, then

P(=0)=0.7×0.8=0.56.

P( =500)=0.3×0.8+0.7×0.2=0.38.

P（ ="3" 000)=0.3×0.2=0.06.

The probability distribution is: It is the right choice to make rainproof treatment according to the weather forecast

0

500

3 000

P

0.56

0.38

0.06

∴E( )=500×0.38+3 000×0.06=370< /p>

The average daily loss is 370 yuan.

∵370<900, ∴It is the right choice to prevent rain according to the weather forecast.