Question
The table shows the probability distribution of the number of goals () scored by the Manchester United soccer team in a random full-time match, where
The table shows the probability distribution of the number of goals () scored by the Manchester United soccer team in a random full-time match, where 5. Number of goals Probability () .() (). ( ) 0 0.10 0 0.3920 1 0.28 0.28 2 0.32 0.64 0.0001 3 0.16 0.1664 4 0.12 0.48 0.4896 5 0.02 0.1 0.1824 i. What is the probability that in a randomly selected match, Manchester United will score less than 2 goals? [1] ii. Fill in the two missing numbers in the table. [1] iii. Calculate the expected number of goals scored. [1] iv. Compute the standard deviation for the above distribution correct to 2 decimal places. [
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