Answer :
Second option is correct 0.04772.
The probability of a weight between 420 kilos and the mean of 400
kilos = 0.4772
Mean of a normal probability distribution is μ = 400 kilos
And standard deviation σ = 10 kilos
Let x be the variable in kilos.
X is between 400 kilos and 420 kilos
P( 400 < X < 420 ) = P ( 400 - μ < X - μ < 420 - μ)
= P ( (400-μ)/σ < (X-μ)/σ < (420-μ)/σ )
= P ( (400 - 400) /10 < Z < (420 - 400)/10 )
= P ( 0 < Z < 2 )
= 0.4777 from the table appendix B1.
The link for the appendix table B1 :
www.webassign.net%2Faswsbe13%2Fappendix-b.pdf&usg=AOvVaw3QlkaDTdGZ1Z01YZPYCL6h
The probability of a weight between 420 kilos and the mean of 400
kilos = 0.4772
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