Traditional Culture Encyclopedia - Weather inquiry - The accuracy of a weather forecast at a weather station is 0.7, and the probability of accuracy is 8 times out of (1) 10. (2) The probability of accuracy is at least 8 times in 10 (result

The accuracy of a weather forecast at a weather station is 0.7, and the probability of accuracy is 8 times out of (1) 10. (2) The probability of accuracy is at least 8 times in 10 (result

The event with probability p is repeated n times, and the probability of appearing k times is p (k) = c (n, k) * (p k) * (( 1-p) (n-k)).

The probability that 1) 10 has 8 times is p (8) = c (10,8) * (0.78) * (0.32) = 0.23.

2) The accurate probability of at least 8 of10 predictions is P=P(8)+P(9)+P( 10)=0.38.