Suppose 48% of the general population of thw world has blood type O, 27% blood type A, and 23% blood type B.
a. what is the probability that someone has type AB blood( assume that there are only four blood types?
b. Of tjere are 30 people in a room,how many would you expect to have type A blood?
I got for the first answer a 2/27= 0.07 b. 27/30=0.9, I am not sure if this correct.
1-.48-.27-.23 = .02, so 2% have AB
That is, types O,A,B account for 98% of the population.
30 * 27% = 8.1, so I'd expect 8
ok, I understand now thanks!
To calculate the probability and expected number of people with a specific blood type, we need to understand the given percentages for each blood type and use them to compute the desired answers.
a. Probability of type AB blood:
Based on the given information, the percentage of people with blood type AB is not directly provided. However, since the four blood types (O, A, B, and AB) must account for 100% of the population, we can deduce that the remaining percentage not yet mentioned represents the proportion of people with type AB blood.
Given that 48% have blood type O, 27% have blood type A, and 23% have blood type B, we can calculate the percentage for type AB:
Remaining percentage = 100% - (48% + 27% + 23%) = 2%
Hence, the probability of someone having type AB blood is 2/100 = 0.02 or 2%.
b. Expected number of people with type A blood:
To find the expected number of people with type A blood out of a group of 30 individuals, we will multiply the proportion (percentage) of people with type A blood by the total number of individuals in the room.
Given that 27% of the general population has type A blood, we can calculate the expected number of people with type A blood in the room:
Expected number of people with type A blood = 27% (or 0.27) * 30 = 8.1
Since you cannot have fractional people, we round the expected number down to the nearest whole number. Therefore, we would expect approximately 8 people in the room to have type A blood.