Question

the record of a weather station shows that out of the past 250 consecutive days its weather forecast was correct 175 times what is the probability that it was not correct on a given day

Answer 1

AnswEr:

We have,

• Total number of days for which the weather forecast was made = 250

• Number of days for which the forecast was correct = 175

• Number of days for which the forecast was not correct = 250 - 175 = 75.

Therefore,

(i) Probability that the forecast was correct on a given day

= $\tt\frac{Number\:of\:days\:for\:which\:the\:forecast\:was\:correct}{Number\:of\:days\:for\:which\:the\:forecast\:was\:made}$

$\leadsto$ $\tt\dfrac{175}{250}=0.7$

________________________

(ii) Probability that the forecast was not correct on a given day

= $\tt\frac{Number\:of\:days\:for\:which\:the\:forecast\:was\:not\:correct}{Number\:of\:days\:for\:which\:the\:forecast\:was\:made}$

$\leadsto$ $\tt\dfrac{75}{250}=0.3$