Traditional Culture Encyclopedia - Weather inquiry - At the same time, there are two weather forecasting stations, A and B, which independently forecast the weather. According to the previous statistical laws, the forecasting station forecasts the weath

At the same time, there are two weather forecasting stations, A and B, which independently forecast the weather. According to the previous statistical laws, the forecasting station forecasts the weath

At the same time, there are two weather forecasting stations, A and B, which independently forecast the weather. According to the previous statistical laws, the forecasting station forecasts the weather. (i) According to the meaning of the question, the weather forecast stations A and B forecast the weather independently.

Let "A weather forecast station accurately forecast" and "B weather forecast station accurately forecast"

Then P(A? B)=P(A)? P(B)=0.8×0.75=0.6

(ii) The opposite event accurately predicted by at least one forecasting station is that the predictions of two forecasting stations are inaccurate,

Whether the probability of the requested event is equal to 1-P (. a)? p(。 b)

= 1-( 1-0.8)( 1-0.75)=0.95

(3) According to the meaning of the question, this question conforms to the independent repeated test.

Station A independently predicted three times, of which only two were accurate.

p = C23(45)2( 15)= 48 125

=0.384