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The number of severe storms that strike city J in a year follows a binomial distribution with <math>n = 5 </math> and <math>p = 0.6 </math>. Given that <math>m</math> severe storms strike city J in a year, the number of severe storms that strike city K in the same year is <math>m<math> with probability 1/2, <math>m+1<math> with probability 1/3, and <math>m+2<math> with probability 1/6. | The number of severe storms that strike city J in a year follows a binomial distribution with <math>n = 5 </math> and <math>p = 0.6 </math>. Given that <math>m</math> severe storms strike city J in a year, the number of severe storms that strike city K in the same year is <math>m</math> with probability 1/2, <math>m+1</math> with probability 1/3, and <math>m+2</math> with probability 1/6. | ||
Calculate the expected number of severe storms that strike city J in a year during which 5 severe storms strike city K. | Calculate the expected number of severe storms that strike city J in a year during which 5 severe storms strike city K. | ||
Latest revision as of 02:05, 1 January 2024
The number of severe storms that strike city J in a year follows a binomial distribution with [math]n = 5 [/math] and [math]p = 0.6 [/math]. Given that [math]m[/math] severe storms strike city J in a year, the number of severe storms that strike city K in the same year is [math]m[/math] with probability 1/2, [math]m+1[/math] with probability 1/3, and [math]m+2[/math] with probability 1/6.
Calculate the expected number of severe storms that strike city J in a year during which 5 severe storms strike city K.
- 3.5
- 3.7
- 3.9
- 4.0
- 5.7
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