Answer:
0.650
Step-by-step explanation:
The probability of rain on 4 or more days is the sum of the probabilities of rain on 4, 5, 6, and 7 of the days.
The probability of rain on 4 days is ...
7C4×(0.57)^4×(1 -0.57)^(7-4) ≈ 0.29375
On 5 days, it is ...
7C5×(0.57^5)(0.43^2) ≈ 0.23363
On 6 days, it is ...
7C6×(0.57^6)(0.43^1) ≈ 0.10323
And on all 7 days, it is ...
0.57^7 ≈ 0.01955
The sum of these probabilities is ...
P(≥4) = 0.29375 +0.23363 +0.10323 +0.01955 = 0.65016
The probability of rain on 4 or more days is about 0.650.
